LCM for 70 and 400

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What's the Least Common Multiple (LCM) of 70 and 400?

Answer

LCM of 70 and 400 is
2,800

First common multiples: 2,800; 5,600; 8,400; …

2,800 is divisible by both: 2,800 ÷ 70 = 40; 2,800 ÷ 400 = 7 — and 40 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/70 by 40 and of y/400 by 7.

70 = 2 × 5 × 7

400 = 24 × 52

Prime70400Highest power
222424
555252
77—7

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

LCM = 24 × 52 × 7 = 2,800

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LCM Table

Number 1Number 2LCM
702153,010
702301,610
702401,680
70245490
702653,710
702701,890
702753,850
702902,030
702954,130
703054,270
703102,170
703202,240
703302,310
703354,690
70350350
703602,520
703655,110
70385770
703955,530
704002,800
70420420
704303,010
704356,090
704503,150
70455910
704656,510
704803,360
704856,790
705003,500
701,3652,730

FAQ

What's the Least Common Multiple (LCM) of 70 and 400?

LCM of 70 and 400 is 2,800

How to find the LCM of 70 and 400 using prime factorization?

To find the LCM of 70 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,800.

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 70 and 400: LCM = 2,800, GCF = 10.

See Also