LCM for 20 and 53

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What's the Least Common Multiple (LCM) of 20 and 53?

Answer

LCM of 20 and 53 is
1,060

First common multiples: 1,060; 2,120; 3,180; …

1,060 is divisible by both: 1,060 ÷ 20 = 53; 1,060 ÷ 53 = 20 — and 53 and 20 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/20 by 53 and of y/53 by 20.

20 and 53 are coprime (GCF = 1), so their LCM is simply the product: 20 × 53 = 1,060.

20 = 22 × 5

53 — prime

Prime2053Highest power
222—22
55—5
53—5353

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

LCM = 22 × 5 × 53 = 1,060

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LCM Table

Number 1Number 2LCM
2032160
2033660
2034340
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

FAQ

What's the Least Common Multiple (LCM) of 20 and 53?

LCM of 20 and 53 is 1,060

How to find the LCM of 20 and 53 using prime factorization?

To find the LCM of 20 and 53, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,060.

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 53: LCM = 1,060, GCF = 1.

See Also