LCM for 120 and 168

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What's the Least Common Multiple (LCM) of 120 and 168?

Answer

LCM of 120 and 168 is
840

First common multiples: 840; 1,680; 2,520; …

840 is divisible by both: 840 ÷ 120 = 7, 840 ÷ 168 = 5 — and 7 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 7 and of y/168 by 5.

120 = 23 × 3 × 5

168 = 23 × 3 × 7

Prime120168Highest power
2232323
3333
55—5
7—77

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

LCM = 23 × 3 × 5 × 7 = 840

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
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
1201754,200
1201762,640
1201777,080
12017810,680
12017921,480
120180360
12018121,720
12018210,920

FAQ

What's the Least Common Multiple (LCM) of 120 and 168?

LCM of 120 and 168 is 840

How to find the LCM of 120 and 168 using prime factorization?

To find the LCM of 120 and 168, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 168: LCM = 840, GCF = 24.

See Also