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What is the Least Common Multiple of 7918 and 7934?

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 7934 is 31410706.

LCM(7918,7934) = 31410706

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Least Common Multiple of 7918 and 7934 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 7934, than apply into the LCM equation.

GCF(7918,7934) = 2
LCM(7918,7934) = ( 7918 × 7934) / 2
LCM(7918,7934) = 62821412 / 2
LCM(7918,7934) = 31410706

Least Common Multiple (LCM) of 7918 and 7934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7918 and 7934. First we will calculate the prime factors of 7918 and 7934.

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 7934

Prime factors of 7934 are 2, 3967. Prime factorization of 7934 in exponential form is:

7934 = 21 × 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 7918 and 7934.

LCM(7918,7934) = 21 × 371 × 1071 × 39671
LCM(7918,7934) = 31410706