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What is the Least Common Multiple of 69182 and 69187?

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 69182 and 69187 is 4786495034.

LCM(69182,69187) = 4786495034

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Least Common Multiple of 69182 and 69187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69182 and 69187, than apply into the LCM equation.

GCF(69182,69187) = 1
LCM(69182,69187) = ( 69182 × 69187) / 1
LCM(69182,69187) = 4786495034 / 1
LCM(69182,69187) = 4786495034

Least Common Multiple (LCM) of 69182 and 69187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69182 and 69187. First we will calculate the prime factors of 69182 and 69187.

Prime Factorization of 69182

Prime factors of 69182 are 2, 34591. Prime factorization of 69182 in exponential form is:

69182 = 21 × 345911

Prime Factorization of 69187

Prime factors of 69187 are 43, 1609. Prime factorization of 69187 in exponential form is:

69187 = 431 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 69182 and 69187.

LCM(69182,69187) = 21 × 345911 × 431 × 16091
LCM(69182,69187) = 4786495034