LCM for 20 and 58

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What's the Least Common Multiple (LCM) of 20 and 58?

Answer

LCM of 20 and 58 is
580

First common multiples: 580; 1,160; 1,740; …

580 is divisible by both: 580 ÷ 20 = 29, 580 ÷ 58 = 10 — and 29 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 29 and of y/58 by 10.

20 = 22 × 5

58 = 2 × 29

Prime2058Highest power
222222
55—5
29—2929

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

LCM = 22 × 5 × 29 = 580

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LCM Table

Number 1Number 2LCM
2035140
2036180
2039780
204040
2043860
2044220
2045180
2046460
2047940
2048240
2050100
20511,020
20531,060
2054540
2055220
2058580
206060
2070140
2075300
2084420
2090180
20100100
20105420
20125500
20135540
20140140
20145580
20150300
20160160
20165660

FAQ

What's the Least Common Multiple (LCM) of 20 and 58?

LCM of 20 and 58 is 580

How to find the LCM of 20 and 58 using prime factorization?

To find the LCM of 20 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 580.

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 58: LCM = 580, GCF = 2.

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