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What is the Least Common Multiple of 92408 and 92428?

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 92408 and 92428 is 2135271656.

LCM(92408,92428) = 2135271656

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Least Common Multiple of 92408 and 92428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92408 and 92428, than apply into the LCM equation.

GCF(92408,92428) = 4
LCM(92408,92428) = ( 92408 × 92428) / 4
LCM(92408,92428) = 8541086624 / 4
LCM(92408,92428) = 2135271656

Least Common Multiple (LCM) of 92408 and 92428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92408 and 92428. First we will calculate the prime factors of 92408 and 92428.

Prime Factorization of 92408

Prime factors of 92408 are 2, 11551. Prime factorization of 92408 in exponential form is:

92408 = 23 × 115511

Prime Factorization of 92428

Prime factors of 92428 are 2, 7, 3301. Prime factorization of 92428 in exponential form is:

92428 = 22 × 71 × 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 92408 and 92428.

LCM(92408,92428) = 23 × 115511 × 71 × 33011
LCM(92408,92428) = 2135271656