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What is the Least Common Multiple of 20 and 29?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 20 and 29 is 580.

LCM(20,29) = 580

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Least Common Multiple of 20 and 29 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20 and 29, than apply into the LCM equation.

GCF(20,29) = 1
LCM(20,29) = ( 20 × 29) / 1
LCM(20,29) = 580 / 1
LCM(20,29) = 580

Least Common Multiple (LCM) of 20 and 29 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20 and 29. First we will calculate the prime factors of 20 and 29.

Prime Factorization of 20

Prime factors of 20 are 2, 5. Prime factorization of 20 in exponential form is:

20 = 22 × 51

Prime Factorization of 29

Prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 291

Now multiplying the highest exponent prime factors to calculate the LCM of 20 and 29.

LCM(20,29) = 22 × 51 × 291
LCM(20,29) = 580

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