LCM for 40 and 155

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What's the Least Common Multiple (LCM) of 40 and 155?

Answer

LCM of 40 and 155 is
1,240

First common multiples: 1,240; 2,480; 3,720; …

1,240 is divisible by both: 1,240 ÷ 40 = 31; 1,240 ÷ 155 = 8 — and 31 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 31 and of y/155 by 8.

40 = 23 × 5

155 = 5 × 31

Prime40155Highest power
223—23
5555
31—3131

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

LCM = 23 × 5 × 31 = 1,240

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LCM Table

Number 1Number 2LCM
4065520
40661,320
4070280
4072360
408080
4084840
4085680
4090360
4096480
40100200
40115920
40120120
401251,000
40144720
40150600
401551,240
40160160
40180360
401951,560
40220440
402251,800
40230920
402501,000
402552,040
40260520
402652,120
402901,160
402952,360
40300600
403152,520

FAQ

What's the Least Common Multiple (LCM) of 40 and 155?

LCM of 40 and 155 is 1,240

How to find the LCM of 40 and 155 using prime factorization?

To find the LCM of 40 and 155, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,240.

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 155: LCM = 1,240, GCF = 5.

See Also