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What is the Least Common Multiple of 6932 and 6946?

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 6932 and 6946 is 24074836.

LCM(6932,6946) = 24074836

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Least Common Multiple of 6932 and 6946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6932 and 6946, than apply into the LCM equation.

GCF(6932,6946) = 2
LCM(6932,6946) = ( 6932 × 6946) / 2
LCM(6932,6946) = 48149672 / 2
LCM(6932,6946) = 24074836

Least Common Multiple (LCM) of 6932 and 6946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6932 and 6946. First we will calculate the prime factors of 6932 and 6946.

Prime Factorization of 6932

Prime factors of 6932 are 2, 1733. Prime factorization of 6932 in exponential form is:

6932 = 22 × 17331

Prime Factorization of 6946

Prime factors of 6946 are 2, 23, 151. Prime factorization of 6946 in exponential form is:

6946 = 21 × 231 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6932 and 6946.

LCM(6932,6946) = 22 × 17331 × 231 × 1511
LCM(6932,6946) = 24074836