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What is the Least Common Multiple of 59627 and 59647?

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 59627 and 59647 is 3556571669.

LCM(59627,59647) = 3556571669

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Least Common Multiple of 59627 and 59647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59627 and 59647, than apply into the LCM equation.

GCF(59627,59647) = 1
LCM(59627,59647) = ( 59627 × 59647) / 1
LCM(59627,59647) = 3556571669 / 1
LCM(59627,59647) = 3556571669

Least Common Multiple (LCM) of 59627 and 59647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59627 and 59647. First we will calculate the prime factors of 59627 and 59647.

Prime Factorization of 59627

Prime factors of 59627 are 59627. Prime factorization of 59627 in exponential form is:

59627 = 596271

Prime Factorization of 59647

Prime factors of 59647 are 7, 8521. Prime factorization of 59647 in exponential form is:

59647 = 71 × 85211

Now multiplying the highest exponent prime factors to calculate the LCM of 59627 and 59647.

LCM(59627,59647) = 596271 × 71 × 85211
LCM(59627,59647) = 3556571669