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What is the Least Common Multiple of 30618 and 30634?

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 30618 and 30634 is 468975906.

LCM(30618,30634) = 468975906

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Least Common Multiple of 30618 and 30634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30618 and 30634, than apply into the LCM equation.

GCF(30618,30634) = 2
LCM(30618,30634) = ( 30618 × 30634) / 2
LCM(30618,30634) = 937951812 / 2
LCM(30618,30634) = 468975906

Least Common Multiple (LCM) of 30618 and 30634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30618 and 30634. First we will calculate the prime factors of 30618 and 30634.

Prime Factorization of 30618

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

30618 = 21 × 37 × 71

Prime Factorization of 30634

Prime factors of 30634 are 2, 17, 53. Prime factorization of 30634 in exponential form is:

30634 = 21 × 172 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 30618 and 30634.

LCM(30618,30634) = 21 × 37 × 71 × 172 × 531
LCM(30618,30634) = 468975906