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What is the Least Common Multiple of 92013 and 92017?

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 92013 and 92017 is 8466760221.

LCM(92013,92017) = 8466760221

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Least Common Multiple of 92013 and 92017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92013 and 92017, than apply into the LCM equation.

GCF(92013,92017) = 1
LCM(92013,92017) = ( 92013 × 92017) / 1
LCM(92013,92017) = 8466760221 / 1
LCM(92013,92017) = 8466760221

Least Common Multiple (LCM) of 92013 and 92017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92013 and 92017. First we will calculate the prime factors of 92013 and 92017.

Prime Factorization of 92013

Prime factors of 92013 are 3, 30671. Prime factorization of 92013 in exponential form is:

92013 = 31 × 306711

Prime Factorization of 92017

Prime factors of 92017 are 19, 29, 167. Prime factorization of 92017 in exponential form is:

92017 = 191 × 291 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 92013 and 92017.

LCM(92013,92017) = 31 × 306711 × 191 × 291 × 1671
LCM(92013,92017) = 8466760221