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What is the Least Common Multiple of 92989 and 93006?

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 92989 and 93006 is 8648534934.

LCM(92989,93006) = 8648534934

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Least Common Multiple of 92989 and 93006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92989 and 93006, than apply into the LCM equation.

GCF(92989,93006) = 1
LCM(92989,93006) = ( 92989 × 93006) / 1
LCM(92989,93006) = 8648534934 / 1
LCM(92989,93006) = 8648534934

Least Common Multiple (LCM) of 92989 and 93006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92989 and 93006. First we will calculate the prime factors of 92989 and 93006.

Prime Factorization of 92989

Prime factors of 92989 are 13, 23, 311. Prime factorization of 92989 in exponential form is:

92989 = 131 × 231 × 3111

Prime Factorization of 93006

Prime factors of 93006 are 2, 3, 5167. Prime factorization of 93006 in exponential form is:

93006 = 21 × 32 × 51671

Now multiplying the highest exponent prime factors to calculate the LCM of 92989 and 93006.

LCM(92989,93006) = 131 × 231 × 3111 × 21 × 32 × 51671
LCM(92989,93006) = 8648534934