LCM for 40 and 100

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What's the Least Common Multiple (LCM) of 40 and 100?

Answer

LCM of 40 and 100 is
200

First common multiples: 200, 400, 600, …

200 is divisible by both: 200 ÷ 40 = 5, 200 ÷ 100 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/40 by 5 and of y/100 by 2.

40 = 23 × 5

100 = 22 × 52

Prime40100Highest power
2232223
555252

LCM = 23 × 52 = 200

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LCM Table

Number 1Number 2LCM
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
402251,800
40230920
402501,000
402552,040

FAQ

What's the Least Common Multiple (LCM) of 40 and 100?

LCM of 40 and 100 is 200

How to find the LCM of 40 and 100 using prime factorization?

To find the LCM of 40 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

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 100: LCM = 200, GCF = 20.

See Also