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What is the Least Common Multiple of 79032 and 79043?

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 79032 and 79043 is 6246926376.

LCM(79032,79043) = 6246926376

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Least Common Multiple of 79032 and 79043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79032 and 79043, than apply into the LCM equation.

GCF(79032,79043) = 1
LCM(79032,79043) = ( 79032 × 79043) / 1
LCM(79032,79043) = 6246926376 / 1
LCM(79032,79043) = 6246926376

Least Common Multiple (LCM) of 79032 and 79043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79032 and 79043. First we will calculate the prime factors of 79032 and 79043.

Prime Factorization of 79032

Prime factors of 79032 are 2, 3, 37, 89. Prime factorization of 79032 in exponential form is:

79032 = 23 × 31 × 371 × 891

Prime Factorization of 79043

Prime factors of 79043 are 79043. Prime factorization of 79043 in exponential form is:

79043 = 790431

Now multiplying the highest exponent prime factors to calculate the LCM of 79032 and 79043.

LCM(79032,79043) = 23 × 31 × 371 × 891 × 790431
LCM(79032,79043) = 6246926376