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What is the Least Common Multiple of 18392 and 18408?

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 18392 and 18408 is 42319992.

LCM(18392,18408) = 42319992

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Least Common Multiple of 18392 and 18408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18392 and 18408, than apply into the LCM equation.

GCF(18392,18408) = 8
LCM(18392,18408) = ( 18392 × 18408) / 8
LCM(18392,18408) = 338559936 / 8
LCM(18392,18408) = 42319992

Least Common Multiple (LCM) of 18392 and 18408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18392 and 18408. First we will calculate the prime factors of 18392 and 18408.

Prime Factorization of 18392

Prime factors of 18392 are 2, 11, 19. Prime factorization of 18392 in exponential form is:

18392 = 23 × 112 × 191

Prime Factorization of 18408

Prime factors of 18408 are 2, 3, 13, 59. Prime factorization of 18408 in exponential form is:

18408 = 23 × 31 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 18392 and 18408.

LCM(18392,18408) = 23 × 112 × 191 × 31 × 131 × 591
LCM(18392,18408) = 42319992