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What is the Least Common Multiple of 60427 and 60447?

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 60427 and 60447 is 3652630869.

LCM(60427,60447) = 3652630869

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Least Common Multiple of 60427 and 60447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60427 and 60447, than apply into the LCM equation.

GCF(60427,60447) = 1
LCM(60427,60447) = ( 60427 × 60447) / 1
LCM(60427,60447) = 3652630869 / 1
LCM(60427,60447) = 3652630869

Least Common Multiple (LCM) of 60427 and 60447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60427 and 60447. First we will calculate the prime factors of 60427 and 60447.

Prime Factorization of 60427

Prime factors of 60427 are 60427. Prime factorization of 60427 in exponential form is:

60427 = 604271

Prime Factorization of 60447

Prime factors of 60447 are 3, 20149. Prime factorization of 60447 in exponential form is:

60447 = 31 × 201491

Now multiplying the highest exponent prime factors to calculate the LCM of 60427 and 60447.

LCM(60427,60447) = 604271 × 31 × 201491
LCM(60427,60447) = 3652630869