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What is the Least Common Multiple of 69178 and 69188?

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 69178 and 69188 is 2393143732.

LCM(69178,69188) = 2393143732

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Least Common Multiple of 69178 and 69188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69178 and 69188, than apply into the LCM equation.

GCF(69178,69188) = 2
LCM(69178,69188) = ( 69178 × 69188) / 2
LCM(69178,69188) = 4786287464 / 2
LCM(69178,69188) = 2393143732

Least Common Multiple (LCM) of 69178 and 69188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69178 and 69188. First we will calculate the prime factors of 69178 and 69188.

Prime Factorization of 69178

Prime factors of 69178 are 2, 34589. Prime factorization of 69178 in exponential form is:

69178 = 21 × 345891

Prime Factorization of 69188

Prime factors of 69188 are 2, 7, 353. Prime factorization of 69188 in exponential form is:

69188 = 22 × 72 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 69178 and 69188.

LCM(69178,69188) = 22 × 345891 × 72 × 3531
LCM(69178,69188) = 2393143732