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What is the Least Common Multiple of 93071 and 93084?

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 93071 and 93084 is 8663420964.

LCM(93071,93084) = 8663420964

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Least Common Multiple of 93071 and 93084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93071 and 93084, than apply into the LCM equation.

GCF(93071,93084) = 1
LCM(93071,93084) = ( 93071 × 93084) / 1
LCM(93071,93084) = 8663420964 / 1
LCM(93071,93084) = 8663420964

Least Common Multiple (LCM) of 93071 and 93084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93071 and 93084. First we will calculate the prime factors of 93071 and 93084.

Prime Factorization of 93071

Prime factors of 93071 are 11, 8461. Prime factorization of 93071 in exponential form is:

93071 = 111 × 84611

Prime Factorization of 93084

Prime factors of 93084 are 2, 3, 7757. Prime factorization of 93084 in exponential form is:

93084 = 22 × 31 × 77571

Now multiplying the highest exponent prime factors to calculate the LCM of 93071 and 93084.

LCM(93071,93084) = 111 × 84611 × 22 × 31 × 77571
LCM(93071,93084) = 8663420964