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What is the Least Common Multiple of 6915 and 6933?

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 6915 and 6933 is 15980565.

LCM(6915,6933) = 15980565

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Least Common Multiple of 6915 and 6933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6915 and 6933, than apply into the LCM equation.

GCF(6915,6933) = 3
LCM(6915,6933) = ( 6915 × 6933) / 3
LCM(6915,6933) = 47941695 / 3
LCM(6915,6933) = 15980565

Least Common Multiple (LCM) of 6915 and 6933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6915 and 6933. First we will calculate the prime factors of 6915 and 6933.

Prime Factorization of 6915

Prime factors of 6915 are 3, 5, 461. Prime factorization of 6915 in exponential form is:

6915 = 31 × 51 × 4611

Prime Factorization of 6933

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

6933 = 31 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 6915 and 6933.

LCM(6915,6933) = 31 × 51 × 4611 × 23111
LCM(6915,6933) = 15980565