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What is the Least Common Multiple of 7918 and 7928?

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 7918 and 7928 is 31386952.

LCM(7918,7928) = 31386952

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Least Common Multiple of 7918 and 7928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7918 and 7928, than apply into the LCM equation.

GCF(7918,7928) = 2
LCM(7918,7928) = ( 7918 × 7928) / 2
LCM(7918,7928) = 62773904 / 2
LCM(7918,7928) = 31386952

Least Common Multiple (LCM) of 7918 and 7928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7918 and 7928. First we will calculate the prime factors of 7918 and 7928.

Prime Factorization of 7918

Prime factors of 7918 are 2, 37, 107. Prime factorization of 7918 in exponential form is:

7918 = 21 × 371 × 1071

Prime Factorization of 7928

Prime factors of 7928 are 2, 991. Prime factorization of 7928 in exponential form is:

7928 = 23 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 7918 and 7928.

LCM(7918,7928) = 23 × 371 × 1071 × 9911
LCM(7918,7928) = 31386952