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What is the Least Common Multiple of 93189 and 93208?

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 93189 and 93208 is 8685960312.

LCM(93189,93208) = 8685960312

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Least Common Multiple of 93189 and 93208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93189 and 93208, than apply into the LCM equation.

GCF(93189,93208) = 1
LCM(93189,93208) = ( 93189 × 93208) / 1
LCM(93189,93208) = 8685960312 / 1
LCM(93189,93208) = 8685960312

Least Common Multiple (LCM) of 93189 and 93208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93189 and 93208. First we will calculate the prime factors of 93189 and 93208.

Prime Factorization of 93189

Prime factors of 93189 are 3, 31063. Prime factorization of 93189 in exponential form is:

93189 = 31 × 310631

Prime Factorization of 93208

Prime factors of 93208 are 2, 61, 191. Prime factorization of 93208 in exponential form is:

93208 = 23 × 611 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 93189 and 93208.

LCM(93189,93208) = 31 × 310631 × 23 × 611 × 1911
LCM(93189,93208) = 8685960312