LCM for 72 and 120

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What's the Least Common Multiple (LCM) of 72 and 120?

Answer

LCM of 72 and 120 is
360

First common multiples: 360; 720; 1,080; …

360 is divisible by both: 360 ÷ 72 = 5, 360 ÷ 120 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 5 and of y/120 by 3.

72 = 23 × 32

120 = 23 × 3 × 5

Prime72120Highest power
2232323
332332
5—55

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

LCM = 23 × 32 × 5 = 360

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
721052,520
721063,816
721077,704
72108216
721097,848
721103,960
721112,664
721121,008
721138,136
721141,368
721158,280
721162,088
72117936
721184,248
721198,568
72120360
721218,712
721224,392
721232,952
721242,232
721259,000
72126504
721279,144
721281,152
721293,096
721304,680
721319,432
72132792
721339,576
721344,824

FAQ

What's the Least Common Multiple (LCM) of 72 and 120?

LCM of 72 and 120 is 360

How to find the LCM of 72 and 120 using prime factorization?

To find the LCM of 72 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 72 and 120: LCM = 360, GCF = 24.

See Also