LCM for 40 and 50

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 40 and 50?

Answer

LCM of 40 and 50 is

200

First common multiples: 200, 400, 600, …

200 is divisible by both: 200 ÷ 40 = 5, 200 ÷ 50 = 4 — and 5 and 4 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/50 by 4.

40 = 2³ × 5

50 = 2 × 5²

Prime	40	50	Highest power
2	2³	2	2³
5	5	5²	5²

LCM = 2³ × 5² = 200

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Related Calculations

LCM Table

Number 1	Number 2	LCM
40	44	440
40	45	360
40	47	1,880
40	50	200
40	55	440
40	56	280
40	57	2,280
40	60	120
40	63	2,520
40	64	320
40	65	520
40	66	1,320
40	70	280
40	72	360
40	80	80
40	84	840
40	85	680
40	90	360
40	96	480
40	100	200
40	115	920
40	120	120
40	125	1,000
40	144	720
40	150	600
40	155	1,240
40	160	160
40	180	360
40	195	1,560
40	220	440

FAQ

What's the Least Common Multiple (LCM) of 40 and 50?

LCM of 40 and 50 is 200

How to find the LCM of 40 and 50 using prime factorization?

To find the LCM of 40 and 50, 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 50: LCM = 200, GCF = 10.

LCM for 40 and 50

What's the Least Common Multiple (LCM) of 40 and 50?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 40 and 50?

How to find the LCM of 40 and 50 using prime factorization?

What is the difference between LCM and GCF?

See Also