LCM for 120 and 160

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What's the Least Common Multiple (LCM) of 120 and 160?

Answer

LCM of 120 and 160 is
480

First common multiples: 480; 960; 1,440; …

480 is divisible by both: 480 ÷ 120 = 4, 480 ÷ 160 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 4 and of y/160 by 3.

120 = 23 × 3 × 5

160 = 25 × 5

Prime120160Highest power
2232525
33—3
5555

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

LCM = 25 × 3 × 5 = 480

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
1201651,320
1201669,960
12016720,040
120168840
12016920,280
1201702,040
1201716,840
1201725,160
12017320,760
1201743,480

FAQ

What's the Least Common Multiple (LCM) of 120 and 160?

LCM of 120 and 160 is 480

How to find the LCM of 120 and 160 using prime factorization?

To find the LCM of 120 and 160, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 480.

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 160: LCM = 480, GCF = 40.

See Also