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What is the Least Common Multiple of 20620 and 20629?

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 20620 and 20629 is 425369980.

LCM(20620,20629) = 425369980

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Least Common Multiple of 20620 and 20629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20620 and 20629, than apply into the LCM equation.

GCF(20620,20629) = 1
LCM(20620,20629) = ( 20620 × 20629) / 1
LCM(20620,20629) = 425369980 / 1
LCM(20620,20629) = 425369980

Least Common Multiple (LCM) of 20620 and 20629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20620 and 20629. First we will calculate the prime factors of 20620 and 20629.

Prime Factorization of 20620

Prime factors of 20620 are 2, 5, 1031. Prime factorization of 20620 in exponential form is:

20620 = 22 × 51 × 10311

Prime Factorization of 20629

Prime factors of 20629 are 7, 421. Prime factorization of 20629 in exponential form is:

20629 = 72 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 20620 and 20629.

LCM(20620,20629) = 22 × 51 × 10311 × 72 × 4211
LCM(20620,20629) = 425369980