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What is the Least Common Multiple of 79027 and 79035?

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 79035 is 6245898945.

LCM(79027,79035) = 6245898945

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Least Common Multiple of 79027 and 79035 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 79035, than apply into the LCM equation.

GCF(79027,79035) = 1
LCM(79027,79035) = ( 79027 × 79035) / 1
LCM(79027,79035) = 6245898945 / 1
LCM(79027,79035) = 6245898945

Least Common Multiple (LCM) of 79027 and 79035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79027 and 79035. First we will calculate the prime factors of 79027 and 79035.

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 79035

Prime factors of 79035 are 3, 5, 11, 479. Prime factorization of 79035 in exponential form is:

79035 = 31 × 51 × 111 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 79027 and 79035.

LCM(79027,79035) = 131 × 60791 × 31 × 51 × 111 × 4791
LCM(79027,79035) = 6245898945