LCM for 40 and 57

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What's the Least Common Multiple (LCM) of 40 and 57?

Answer

LCM of 40 and 57 is
2,280

First common multiples: 2,280; 4,560; 6,840; …

2,280 is divisible by both: 2,280 ÷ 40 = 57; 2,280 ÷ 57 = 40 — and 57 and 40 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 57 and of y/57 by 40.

40 and 57 are coprime (GCF = 1), so their LCM is simply the product: 40 × 57 = 2,280.

40 = 23 × 5

57 = 3 × 19

Prime4057Highest power
223—23
3—33
55—5
19—1919

— = 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 × 19 = 2,280

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LCM Table

Number 1Number 2LCM
4044440
4045360
40471,880
4050200
4055440
4056280
40572,280
4060120
40632,520
4064320
4065520
40661,320
4070280
4072360
408080
4084840
4085680
4090360
4096480
40100200
40115920
40120120
401251,000
40144720
40150600
401551,240
40160160
40180360
401951,560
40220440

FAQ

What's the Least Common Multiple (LCM) of 40 and 57?

LCM of 40 and 57 is 2,280

How to find the LCM of 40 and 57 using prime factorization?

To find the LCM of 40 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,280.

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 40 and 57: LCM = 2,280, GCF = 1.

See Also