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What is the Least Common Multiple of 6933 and 6942?

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 6933 and 6942 is 16042962.

LCM(6933,6942) = 16042962

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Least Common Multiple of 6933 and 6942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6933 and 6942, than apply into the LCM equation.

GCF(6933,6942) = 3
LCM(6933,6942) = ( 6933 × 6942) / 3
LCM(6933,6942) = 48128886 / 3
LCM(6933,6942) = 16042962

Least Common Multiple (LCM) of 6933 and 6942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6933 and 6942. First we will calculate the prime factors of 6933 and 6942.

Prime Factorization of 6933

Prime factors of 6933 are 3, 2311. Prime factorization of 6933 in exponential form is:

6933 = 31 × 23111

Prime Factorization of 6942

Prime factors of 6942 are 2, 3, 13, 89. Prime factorization of 6942 in exponential form is:

6942 = 21 × 31 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 6933 and 6942.

LCM(6933,6942) = 31 × 23111 × 21 × 131 × 891
LCM(6933,6942) = 16042962