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What is the Least Common Multiple of 92389 and 92408?

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 92389 and 92408 is 8537482712.

LCM(92389,92408) = 8537482712

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Least Common Multiple of 92389 and 92408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92389 and 92408, than apply into the LCM equation.

GCF(92389,92408) = 1
LCM(92389,92408) = ( 92389 × 92408) / 1
LCM(92389,92408) = 8537482712 / 1
LCM(92389,92408) = 8537482712

Least Common Multiple (LCM) of 92389 and 92408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92389 and 92408. First we will calculate the prime factors of 92389 and 92408.

Prime Factorization of 92389

Prime factors of 92389 are 11, 37, 227. Prime factorization of 92389 in exponential form is:

92389 = 111 × 371 × 2271

Prime Factorization of 92408

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

92408 = 23 × 115511

Now multiplying the highest exponent prime factors to calculate the LCM of 92389 and 92408.

LCM(92389,92408) = 111 × 371 × 2271 × 23 × 115511
LCM(92389,92408) = 8537482712