LCM for 18 and 57

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What's the Least Common Multiple (LCM) of 18 and 57?

Answer

LCM of 18 and 57 is
342

First common multiples: 342; 684; 1,026; …

342 is divisible by both: 342 ÷ 18 = 19, 342 ÷ 57 = 6 — and 19 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 19 and of y/57 by 6.

18 = 2 × 32

57 = 3 × 19

Prime1857Highest power
22—2
332332
19—1919

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

LCM = 2 × 32 × 19 = 342

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LCM Table

Number 1Number 2LCM
1832288
1835630
183636
1837666
1838342
1839234
1840360
1841738
1842126
184590
1848144
1849882
1852468
185454
1856504
1857342
18591,062
1860180
1863126
1864576
1866198
1870630
187272
1875450
1878234
1880720
1881162
1884252
1888792
1896288

FAQ

What's the Least Common Multiple (LCM) of 18 and 57?

LCM of 18 and 57 is 342

How to find the LCM of 18 and 57 using prime factorization?

To find the LCM of 18 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 342.

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 57: LCM = 342, GCF = 3.

See Also