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What is the Least Common Multiple of 56204 and 56215?

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 56204 and 56215 is 3159507860.

LCM(56204,56215) = 3159507860

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Least Common Multiple of 56204 and 56215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56204 and 56215, than apply into the LCM equation.

GCF(56204,56215) = 1
LCM(56204,56215) = ( 56204 × 56215) / 1
LCM(56204,56215) = 3159507860 / 1
LCM(56204,56215) = 3159507860

Least Common Multiple (LCM) of 56204 and 56215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56204 and 56215. First we will calculate the prime factors of 56204 and 56215.

Prime Factorization of 56204

Prime factors of 56204 are 2, 14051. Prime factorization of 56204 in exponential form is:

56204 = 22 × 140511

Prime Factorization of 56215

Prime factors of 56215 are 5, 11243. Prime factorization of 56215 in exponential form is:

56215 = 51 × 112431

Now multiplying the highest exponent prime factors to calculate the LCM of 56204 and 56215.

LCM(56204,56215) = 22 × 140511 × 51 × 112431
LCM(56204,56215) = 3159507860