LCM for 100 and 150

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What's the Least Common Multiple (LCM) of 100 and 150?

Answer

LCM of 100 and 150 is
300

First common multiples: 300, 600, 900, …

300 is divisible by both: 300 ÷ 100 = 3, 300 ÷ 150 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 3 and of y/150 by 2.

100 = 22 × 52

150 = 2 × 3 × 52

Prime100150Highest power
222222
3—33
5525252

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

LCM = 22 × 3 × 52 = 300

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LCM Table

Number 1Number 2LCM
100100100
1001052,100
1001152,300
100120600
10012112,100
100125500
1001301,300
1001352,700
1001443,600
100150300
1001553,100
100160800
1001653,300
100175700
100180900
1001901,900
100200200
1002154,300
1002201,100
100225900
1002401,200
100250500
1002555,100
1002601,300
1002702,700
1002751,100
1002855,700
1002902,900
1003201,600
1003251,300

FAQ

What's the Least Common Multiple (LCM) of 100 and 150?

LCM of 100 and 150 is 300

How to find the LCM of 100 and 150 using prime factorization?

To find the LCM of 100 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 100 and 150: LCM = 300, GCF = 50.

See Also