LCM for 18 and 72

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What's the Least Common Multiple (LCM) of 18 and 72?

Answer

LCM of 18 and 72 is
72

First common multiples: 72, 144, 216, …

As a common denominator: multiply the top and bottom of x/18 by 4.

18 divides 72 (72 ÷ 18 = 4), so the LCM is the larger number itself.

18 = 2 × 32

72 = 23 × 32

Prime1872Highest power
222323
3323232

LCM = 23 × 32 = 72

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LCM Table

Number 1Number 2LCM
1841738
1842126
184590
1848144
1849882
1852468
185454
1856504
1857342
18591,062
1860180
1863126
1864576
1866198
1870630
187272
1875450
1878234
1880720
1881162
1884252
1888792
1896288
1899198
18100900
18108108
181121,008
18120360
181301,170
18225450

FAQ

What's the Least Common Multiple (LCM) of 18 and 72?

LCM of 18 and 72 is 72

How to find the LCM of 18 and 72 using prime factorization?

To find the LCM of 18 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 18 and 72: LCM = 72, GCF = 18.

See Also