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What is the Least Common Multiple of 79439 and 79443?

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 79439 and 79443 is 6310872477.

LCM(79439,79443) = 6310872477

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Least Common Multiple of 79439 and 79443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79439 and 79443, than apply into the LCM equation.

GCF(79439,79443) = 1
LCM(79439,79443) = ( 79439 × 79443) / 1
LCM(79439,79443) = 6310872477 / 1
LCM(79439,79443) = 6310872477

Least Common Multiple (LCM) of 79439 and 79443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79439 and 79443. First we will calculate the prime factors of 79439 and 79443.

Prime Factorization of 79439

Prime factors of 79439 are 19, 37, 113. Prime factorization of 79439 in exponential form is:

79439 = 191 × 371 × 1131

Prime Factorization of 79443

Prime factors of 79443 are 3, 7, 13, 97. Prime factorization of 79443 in exponential form is:

79443 = 32 × 71 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 79439 and 79443.

LCM(79439,79443) = 191 × 371 × 1131 × 32 × 71 × 131 × 971
LCM(79439,79443) = 6310872477