LCM for 120 and 144

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What's the Least Common Multiple (LCM) of 120 and 144?

Answer

LCM of 120 and 144 is
720

First common multiples: 720; 1,440; 2,160; …

720 is divisible by both: 720 ÷ 120 = 6, 720 ÷ 144 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 6 and of y/144 by 5.

120 = 23 × 3 × 5

144 = 24 × 32

Prime120144Highest power
2232424
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 = 24 × 32 × 5 = 720

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1201295,160
1201301,560
12013115,720
1201321,320
12013315,960
1201348,040
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

FAQ

What's the Least Common Multiple (LCM) of 120 and 144?

LCM of 120 and 144 is 720

How to find the LCM of 120 and 144 using prime factorization?

To find the LCM of 120 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

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 144: LCM = 720, GCF = 24.

See Also