LCM for 120 and 150

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What's the Least Common Multiple (LCM) of 120 and 150?

Answer

LCM of 120 and 150 is
600

First common multiples: 600; 1,200; 1,800; …

600 is divisible by both: 600 ÷ 120 = 5, 600 ÷ 150 = 4 — and 5 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 5 and of y/150 by 4.

120 = 23 × 3 × 5

150 = 2 × 3 × 52

Prime120150Highest power
223223
3333
555252

LCM = 23 × 3 × 52 = 600

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LCM Table

Number 1Number 2LCM
1201351,080
1201362,040
12013716,440
1201382,760
12013916,680
120140840
1201415,640
1201428,520
12014317,160
120144720
1201453,480
1201468,760
1201475,880
1201484,440
12014917,880
120150600
12015118,120
1201522,280
1201536,120
1201549,240
1201553,720
1201561,560
12015718,840
1201589,480
1201596,360
120160480
12016119,320
1201623,240
12016319,560
1201644,920

FAQ

What's the Least Common Multiple (LCM) of 120 and 150?

LCM of 120 and 150 is 600

How to find the LCM of 120 and 150 using prime factorization?

To find the LCM of 120 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

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 120 and 150: LCM = 600, GCF = 30.

See Also