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What is the Least Common Multiple of 79031 and 79041?

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 79031 and 79041 is 6246689271.

LCM(79031,79041) = 6246689271

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Least Common Multiple of 79031 and 79041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79031 and 79041, than apply into the LCM equation.

GCF(79031,79041) = 1
LCM(79031,79041) = ( 79031 × 79041) / 1
LCM(79031,79041) = 6246689271 / 1
LCM(79031,79041) = 6246689271

Least Common Multiple (LCM) of 79031 and 79041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79031 and 79041. First we will calculate the prime factors of 79031 and 79041.

Prime Factorization of 79031

Prime factors of 79031 are 79031. Prime factorization of 79031 in exponential form is:

79031 = 790311

Prime Factorization of 79041

Prime factors of 79041 are 3, 26347. Prime factorization of 79041 in exponential form is:

79041 = 31 × 263471

Now multiplying the highest exponent prime factors to calculate the LCM of 79031 and 79041.

LCM(79031,79041) = 790311 × 31 × 263471
LCM(79031,79041) = 6246689271