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What is the Least Common Multiple of 6915 and 6928?

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 6915 and 6928 is 47907120.

LCM(6915,6928) = 47907120

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Least Common Multiple of 6915 and 6928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6915 and 6928, than apply into the LCM equation.

GCF(6915,6928) = 1
LCM(6915,6928) = ( 6915 × 6928) / 1
LCM(6915,6928) = 47907120 / 1
LCM(6915,6928) = 47907120

Least Common Multiple (LCM) of 6915 and 6928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6915 and 6928. First we will calculate the prime factors of 6915 and 6928.

Prime Factorization of 6915

Prime factors of 6915 are 3, 5, 461. Prime factorization of 6915 in exponential form is:

6915 = 31 × 51 × 4611

Prime Factorization of 6928

Prime factors of 6928 are 2, 433. Prime factorization of 6928 in exponential form is:

6928 = 24 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 6915 and 6928.

LCM(6915,6928) = 31 × 51 × 4611 × 24 × 4331
LCM(6915,6928) = 47907120