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What is the Least Common Multiple of 93155 and 93164?

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 93155 and 93164 is 8678692420.

LCM(93155,93164) = 8678692420

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Least Common Multiple of 93155 and 93164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93155 and 93164, than apply into the LCM equation.

GCF(93155,93164) = 1
LCM(93155,93164) = ( 93155 × 93164) / 1
LCM(93155,93164) = 8678692420 / 1
LCM(93155,93164) = 8678692420

Least Common Multiple (LCM) of 93155 and 93164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93155 and 93164. First we will calculate the prime factors of 93155 and 93164.

Prime Factorization of 93155

Prime factors of 93155 are 5, 31, 601. Prime factorization of 93155 in exponential form is:

93155 = 51 × 311 × 6011

Prime Factorization of 93164

Prime factors of 93164 are 2, 23291. Prime factorization of 93164 in exponential form is:

93164 = 22 × 232911

Now multiplying the highest exponent prime factors to calculate the LCM of 93155 and 93164.

LCM(93155,93164) = 51 × 311 × 6011 × 22 × 232911
LCM(93155,93164) = 8678692420