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What is the Least Common Multiple of 30604 and 30612?

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 30604 and 30612 is 234212412.

LCM(30604,30612) = 234212412

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Least Common Multiple of 30604 and 30612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30604 and 30612, than apply into the LCM equation.

GCF(30604,30612) = 4
LCM(30604,30612) = ( 30604 × 30612) / 4
LCM(30604,30612) = 936849648 / 4
LCM(30604,30612) = 234212412

Least Common Multiple (LCM) of 30604 and 30612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30604 and 30612. First we will calculate the prime factors of 30604 and 30612.

Prime Factorization of 30604

Prime factors of 30604 are 2, 7, 1093. Prime factorization of 30604 in exponential form is:

30604 = 22 × 71 × 10931

Prime Factorization of 30612

Prime factors of 30612 are 2, 3, 2551. Prime factorization of 30612 in exponential form is:

30612 = 22 × 31 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 30604 and 30612.

LCM(30604,30612) = 22 × 71 × 10931 × 31 × 25511
LCM(30604,30612) = 234212412