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What is the Least Common Multiple of 69162 and 69177?

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 69162 and 69177 is 1594806558.

LCM(69162,69177) = 1594806558

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Least Common Multiple of 69162 and 69177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69162 and 69177, than apply into the LCM equation.

GCF(69162,69177) = 3
LCM(69162,69177) = ( 69162 × 69177) / 3
LCM(69162,69177) = 4784419674 / 3
LCM(69162,69177) = 1594806558

Least Common Multiple (LCM) of 69162 and 69177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69162 and 69177. First we will calculate the prime factors of 69162 and 69177.

Prime Factorization of 69162

Prime factors of 69162 are 2, 3, 11527. Prime factorization of 69162 in exponential form is:

69162 = 21 × 31 × 115271

Prime Factorization of 69177

Prime factors of 69177 are 3, 23059. Prime factorization of 69177 in exponential form is:

69177 = 31 × 230591

Now multiplying the highest exponent prime factors to calculate the LCM of 69162 and 69177.

LCM(69162,69177) = 21 × 31 × 115271 × 230591
LCM(69162,69177) = 1594806558