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What is the Least Common Multiple of 30606 and 30618?

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 30606 and 30618 is 156182418.

LCM(30606,30618) = 156182418

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Least Common Multiple of 30606 and 30618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30606 and 30618, than apply into the LCM equation.

GCF(30606,30618) = 6
LCM(30606,30618) = ( 30606 × 30618) / 6
LCM(30606,30618) = 937094508 / 6
LCM(30606,30618) = 156182418

Least Common Multiple (LCM) of 30606 and 30618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30606 and 30618. First we will calculate the prime factors of 30606 and 30618.

Prime Factorization of 30606

Prime factors of 30606 are 2, 3, 5101. Prime factorization of 30606 in exponential form is:

30606 = 21 × 31 × 51011

Prime Factorization of 30618

Prime factors of 30618 are 2, 3, 7. Prime factorization of 30618 in exponential form is:

30618 = 21 × 37 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 30606 and 30618.

LCM(30606,30618) = 21 × 37 × 51011 × 71
LCM(30606,30618) = 156182418