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What is the Least Common Multiple of 92513 and 92518?

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 92513 and 92518 is 8559117734.

LCM(92513,92518) = 8559117734

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Least Common Multiple of 92513 and 92518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92513 and 92518, than apply into the LCM equation.

GCF(92513,92518) = 1
LCM(92513,92518) = ( 92513 × 92518) / 1
LCM(92513,92518) = 8559117734 / 1
LCM(92513,92518) = 8559117734

Least Common Multiple (LCM) of 92513 and 92518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92513 and 92518. First we will calculate the prime factors of 92513 and 92518.

Prime Factorization of 92513

Prime factors of 92513 are 71, 1303. Prime factorization of 92513 in exponential form is:

92513 = 711 × 13031

Prime Factorization of 92518

Prime factors of 92518 are 2, 167, 277. Prime factorization of 92518 in exponential form is:

92518 = 21 × 1671 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 92513 and 92518.

LCM(92513,92518) = 711 × 13031 × 21 × 1671 × 2771
LCM(92513,92518) = 8559117734