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What is the Least Common Multiple of 30918 and 30928?

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 30918 and 30928 is 478115952.

LCM(30918,30928) = 478115952

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Least Common Multiple of 30918 and 30928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30918 and 30928, than apply into the LCM equation.

GCF(30918,30928) = 2
LCM(30918,30928) = ( 30918 × 30928) / 2
LCM(30918,30928) = 956231904 / 2
LCM(30918,30928) = 478115952

Least Common Multiple (LCM) of 30918 and 30928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30918 and 30928. First we will calculate the prime factors of 30918 and 30928.

Prime Factorization of 30918

Prime factors of 30918 are 2, 3, 5153. Prime factorization of 30918 in exponential form is:

30918 = 21 × 31 × 51531

Prime Factorization of 30928

Prime factors of 30928 are 2, 1933. Prime factorization of 30928 in exponential form is:

30928 = 24 × 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 30918 and 30928.

LCM(30918,30928) = 24 × 31 × 51531 × 19331
LCM(30918,30928) = 478115952