LCM for 70 and 200

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What's the Least Common Multiple (LCM) of 70 and 200?

Answer

LCM of 70 and 200 is
1,400

First common multiples: 1,400; 2,800; 4,200; …

1,400 is divisible by both: 1,400 ÷ 70 = 20; 1,400 ÷ 200 = 7 — and 20 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 20 and of y/200 by 7.

70 = 2 × 5 × 7

200 = 23 × 52

Prime70200Highest power
222323
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 = 23 × 52 × 7 = 1,400

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LCM Table

Number 1Number 2LCM
7021210
7080560
7084420
70105210
70110770
701151,610
70130910
701351,890
701452,030
701601,120
701801,260
701852,590
701952,730
702001,400
702052,870
70210210
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

FAQ

What's the Least Common Multiple (LCM) of 70 and 200?

LCM of 70 and 200 is 1,400

How to find the LCM of 70 and 200 using prime factorization?

To find the LCM of 70 and 200, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,400.

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 200: LCM = 1,400, GCF = 10.

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