LCM for 20 and 350

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What's the Least Common Multiple (LCM) of 20 and 350?

Answer

LCM of 20 and 350 is
700

First common multiples: 700; 1,400; 2,100; …

700 is divisible by both: 700 ÷ 20 = 35, 700 ÷ 350 = 2 — and 35 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 35 and of y/350 by 2.

20 = 22 × 5

350 = 2 × 52 × 7

Prime20350Highest power
222222
555252
7—77

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

LCM = 22 × 52 × 7 = 700

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LCM Table

Number 1Number 2LCM
20170340
20175700
20185740
20190380
20220220
20225900
20230460
202551,020
202751,100
202851,140
20290580
202951,180
20300300
203051,220
203251,300
203351,340
20350700
203551,420
20400400
20410820
20420420
20430860
204351,740
20440440
204451,780
20460460
204651,860
20470940
20480480
20500500

FAQ

What's the Least Common Multiple (LCM) of 20 and 350?

LCM of 20 and 350 is 700

How to find the LCM of 20 and 350 using prime factorization?

To find the LCM of 20 and 350, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 700.

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 20 and 350: LCM = 700, GCF = 10.

See Also