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What is the Least Common Multiple of 7915 and 7922?

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 7915 and 7922 is 62702630.

LCM(7915,7922) = 62702630

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Least Common Multiple of 7915 and 7922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7915 and 7922, than apply into the LCM equation.

GCF(7915,7922) = 1
LCM(7915,7922) = ( 7915 × 7922) / 1
LCM(7915,7922) = 62702630 / 1
LCM(7915,7922) = 62702630

Least Common Multiple (LCM) of 7915 and 7922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7915 and 7922. First we will calculate the prime factors of 7915 and 7922.

Prime Factorization of 7915

Prime factors of 7915 are 5, 1583. Prime factorization of 7915 in exponential form is:

7915 = 51 × 15831

Prime Factorization of 7922

Prime factors of 7922 are 2, 17, 233. Prime factorization of 7922 in exponential form is:

7922 = 21 × 171 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 7915 and 7922.

LCM(7915,7922) = 51 × 15831 × 21 × 171 × 2331
LCM(7915,7922) = 62702630