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What is the Least Common Multiple of 79177 and 79194?

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 79177 and 79194 is 6270343338.

LCM(79177,79194) = 6270343338

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Least Common Multiple of 79177 and 79194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79177 and 79194, than apply into the LCM equation.

GCF(79177,79194) = 1
LCM(79177,79194) = ( 79177 × 79194) / 1
LCM(79177,79194) = 6270343338 / 1
LCM(79177,79194) = 6270343338

Least Common Multiple (LCM) of 79177 and 79194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79177 and 79194. First we will calculate the prime factors of 79177 and 79194.

Prime Factorization of 79177

Prime factors of 79177 are 7, 11311. Prime factorization of 79177 in exponential form is:

79177 = 71 × 113111

Prime Factorization of 79194

Prime factors of 79194 are 2, 3, 67, 197. Prime factorization of 79194 in exponential form is:

79194 = 21 × 31 × 671 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 79177 and 79194.

LCM(79177,79194) = 71 × 113111 × 21 × 31 × 671 × 1971
LCM(79177,79194) = 6270343338