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What is the Least Common Multiple of 79027 and 79044?

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 79027 and 79044 is 6246610188.

LCM(79027,79044) = 6246610188

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Least Common Multiple of 79027 and 79044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79027 and 79044, than apply into the LCM equation.

GCF(79027,79044) = 1
LCM(79027,79044) = ( 79027 × 79044) / 1
LCM(79027,79044) = 6246610188 / 1
LCM(79027,79044) = 6246610188

Least Common Multiple (LCM) of 79027 and 79044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79027 and 79044. First we will calculate the prime factors of 79027 and 79044.

Prime Factorization of 79027

Prime factors of 79027 are 13, 6079. Prime factorization of 79027 in exponential form is:

79027 = 131 × 60791

Prime Factorization of 79044

Prime factors of 79044 are 2, 3, 7, 941. Prime factorization of 79044 in exponential form is:

79044 = 22 × 31 × 71 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 79027 and 79044.

LCM(79027,79044) = 131 × 60791 × 22 × 31 × 71 × 9411
LCM(79027,79044) = 6246610188