LCM for 20 and 39

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What's the Least Common Multiple (LCM) of 20 and 39?

Answer

LCM of 20 and 39 is
780

First common multiples: 780; 1,560; 2,340; …

780 is divisible by both: 780 ÷ 20 = 39, 780 ÷ 39 = 20 — and 39 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 39 and of y/39 by 20.

20 and 39 are coprime (GCF = 1), so their LCM is simply the product: 20 × 39 = 780.

20 = 22 × 5

39 = 3 × 13

Prime2039Highest power
222—22
3—33
55—5
13—1313

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

LCM = 22 × 3 × 5 × 13 = 780

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LCM Table

Number 1Number 2LCM
201260
201560
2021420
2023460
2024120
2025100
2026260
2027540
2028140
2029580
203060
2033660
2034340
2035140
2036180
2039780
204040
2043860
2044220
2045180
2046460
2047940
2048240
2050100
20511,020
20531,060
2054540
2055220
2058580
206060

FAQ

What's the Least Common Multiple (LCM) of 20 and 39?

LCM of 20 and 39 is 780

How to find the LCM of 20 and 39 using prime factorization?

To find the LCM of 20 and 39, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 780.

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 39: LCM = 780, GCF = 1.

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