LCM for 15 and 36

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What's the Least Common Multiple (LCM) of 15 and 36?

Answer

LCM of 15 and 36 is
180

First common multiples: 180, 360, 540, …

180 is divisible by both: 180 ÷ 15 = 12, 180 ÷ 36 = 5 — and 12 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 12 and of y/36 by 5.

15 = 3 × 5

36 = 22 × 32

Prime1536Highest power
2—2222
333232
55—5

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 22 × 32 × 5 = 180

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LCM Table

Number 1Number 2LCM
151890
1519285
152060
1521105
1522330
1524120
152575
1526390
1527135
1528420
153030
1531465
1533165
1534510
1535105
1536180
1537555
1539195
1540120
1543645
154545
1546690
1547705
1550150
1551255
1552780
1554270
1556840
1558870
1559885

FAQ

What's the Least Common Multiple (LCM) of 15 and 36?

LCM of 15 and 36 is 180

How to find the LCM of 15 and 36 using prime factorization?

To find the LCM of 15 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 15 and 36: LCM = 180, GCF = 3.

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