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What is the Least Common Multiple of 79210 and 79227?

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 79210 and 79227 is 6275570670.

LCM(79210,79227) = 6275570670

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Least Common Multiple of 79210 and 79227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79210 and 79227, than apply into the LCM equation.

GCF(79210,79227) = 1
LCM(79210,79227) = ( 79210 × 79227) / 1
LCM(79210,79227) = 6275570670 / 1
LCM(79210,79227) = 6275570670

Least Common Multiple (LCM) of 79210 and 79227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79210 and 79227. First we will calculate the prime factors of 79210 and 79227.

Prime Factorization of 79210

Prime factors of 79210 are 2, 5, 89. Prime factorization of 79210 in exponential form is:

79210 = 21 × 51 × 892

Prime Factorization of 79227

Prime factors of 79227 are 3, 8803. Prime factorization of 79227 in exponential form is:

79227 = 32 × 88031

Now multiplying the highest exponent prime factors to calculate the LCM of 79210 and 79227.

LCM(79210,79227) = 21 × 51 × 892 × 32 × 88031
LCM(79210,79227) = 6275570670