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What is the Least Common Multiple of 69172 and 69189?

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 69172 and 69189 is 4785941508.

LCM(69172,69189) = 4785941508

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Least Common Multiple of 69172 and 69189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69172 and 69189, than apply into the LCM equation.

GCF(69172,69189) = 1
LCM(69172,69189) = ( 69172 × 69189) / 1
LCM(69172,69189) = 4785941508 / 1
LCM(69172,69189) = 4785941508

Least Common Multiple (LCM) of 69172 and 69189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69172 and 69189. First we will calculate the prime factors of 69172 and 69189.

Prime Factorization of 69172

Prime factors of 69172 are 2, 17293. Prime factorization of 69172 in exponential form is:

69172 = 22 × 172931

Prime Factorization of 69189

Prime factors of 69189 are 3, 23063. Prime factorization of 69189 in exponential form is:

69189 = 31 × 230631

Now multiplying the highest exponent prime factors to calculate the LCM of 69172 and 69189.

LCM(69172,69189) = 22 × 172931 × 31 × 230631
LCM(69172,69189) = 4785941508