[tex]\huge\bold\red|{{Methematics}}[/tex]
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✏️LCM
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Find The LCM of 36 and 72
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[tex] \huge{ \blue{ \bold{ANSWER:}}}[/tex]
[tex]\boxed{\green{LCM: 72}}[/tex]
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[tex] \huge{ \blue{ \bold{Solution:}}}[/tex]
Lists by Multiplies
- Multiplies of 36: 36, 72, 108, 144
- Multiplies of 72: 72, 144, 216
Therefore, The LCM of 36 and 72 is
[tex] \huge\blue{ \sf{72}}[/tex]
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Prime Factorization
- Prime Factorization of 36: 2 x 2 x 3 x 3
- Prime Factorization of 72: 2 x 2 x 2 x 3 x 3
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is:
LCM= 2 x 2 x 2 x 3 x 3=72
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GCF Method
- LCM(36,72) = (36 × 72) / GCF(36,72)
- = (36 × 72) / 36
- = 2592 / 36
- = 72
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