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What is the Least Common Multiple of 29592 and 29607?

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 29592 and 29607 is 292043448.

LCM(29592,29607) = 292043448

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Least Common Multiple of 29592 and 29607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29592 and 29607, than apply into the LCM equation.

GCF(29592,29607) = 3
LCM(29592,29607) = ( 29592 × 29607) / 3
LCM(29592,29607) = 876130344 / 3
LCM(29592,29607) = 292043448

Least Common Multiple (LCM) of 29592 and 29607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29592 and 29607. First we will calculate the prime factors of 29592 and 29607.

Prime Factorization of 29592

Prime factors of 29592 are 2, 3, 137. Prime factorization of 29592 in exponential form is:

29592 = 23 × 33 × 1371

Prime Factorization of 29607

Prime factors of 29607 are 3, 71, 139. Prime factorization of 29607 in exponential form is:

29607 = 31 × 711 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 29592 and 29607.

LCM(29592,29607) = 23 × 33 × 1371 × 711 × 1391
LCM(29592,29607) = 292043448