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What is the Least Common Multiple of 30616 and 30627?

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 30616 and 30627 is 937676232.

LCM(30616,30627) = 937676232

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Least Common Multiple of 30616 and 30627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30616 and 30627, than apply into the LCM equation.

GCF(30616,30627) = 1
LCM(30616,30627) = ( 30616 × 30627) / 1
LCM(30616,30627) = 937676232 / 1
LCM(30616,30627) = 937676232

Least Common Multiple (LCM) of 30616 and 30627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30616 and 30627. First we will calculate the prime factors of 30616 and 30627.

Prime Factorization of 30616

Prime factors of 30616 are 2, 43, 89. Prime factorization of 30616 in exponential form is:

30616 = 23 × 431 × 891

Prime Factorization of 30627

Prime factors of 30627 are 3, 41, 83. Prime factorization of 30627 in exponential form is:

30627 = 32 × 411 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 30616 and 30627.

LCM(30616,30627) = 23 × 431 × 891 × 32 × 411 × 831
LCM(30616,30627) = 937676232