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What is the Least Common Multiple of 79117 and 79133?

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 79117 and 79133 is 6260765561.

LCM(79117,79133) = 6260765561

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Least Common Multiple of 79117 and 79133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79117 and 79133, than apply into the LCM equation.

GCF(79117,79133) = 1
LCM(79117,79133) = ( 79117 × 79133) / 1
LCM(79117,79133) = 6260765561 / 1
LCM(79117,79133) = 6260765561

Least Common Multiple (LCM) of 79117 and 79133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79117 and 79133. First we will calculate the prime factors of 79117 and 79133.

Prime Factorization of 79117

Prime factors of 79117 are 61, 1297. Prime factorization of 79117 in exponential form is:

79117 = 611 × 12971

Prime Factorization of 79133

Prime factors of 79133 are 79133. Prime factorization of 79133 in exponential form is:

79133 = 791331

Now multiplying the highest exponent prime factors to calculate the LCM of 79117 and 79133.

LCM(79117,79133) = 611 × 12971 × 791331
LCM(79117,79133) = 6260765561