LCM for 18 and 56

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What's the Least Common Multiple (LCM) of 18 and 56?

Answer

LCM of 18 and 56 is
504

First common multiples: 504; 1,008; 1,512; …

504 is divisible by both: 504 ÷ 18 = 28, 504 ÷ 56 = 9 — and 28 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 28 and of y/56 by 9.

18 = 2 × 32

56 = 23 × 7

Prime1856Highest power
222323
332—32
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 × 32 × 7 = 504

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LCM Table

Number 1Number 2LCM
1832288
1833198
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

FAQ

What's the Least Common Multiple (LCM) of 18 and 56?

LCM of 18 and 56 is 504

How to find the LCM of 18 and 56 using prime factorization?

To find the LCM of 18 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

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 56: LCM = 504, GCF = 2.

See Also