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What is the Least Common Multiple of 93123 and 93134?

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 93123 and 93134 is 8672917482.

LCM(93123,93134) = 8672917482

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Least Common Multiple of 93123 and 93134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93123 and 93134, than apply into the LCM equation.

GCF(93123,93134) = 1
LCM(93123,93134) = ( 93123 × 93134) / 1
LCM(93123,93134) = 8672917482 / 1
LCM(93123,93134) = 8672917482

Least Common Multiple (LCM) of 93123 and 93134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93123 and 93134. First we will calculate the prime factors of 93123 and 93134.

Prime Factorization of 93123

Prime factors of 93123 are 3, 3449. Prime factorization of 93123 in exponential form is:

93123 = 33 × 34491

Prime Factorization of 93134

Prime factors of 93134 are 2, 46567. Prime factorization of 93134 in exponential form is:

93134 = 21 × 465671

Now multiplying the highest exponent prime factors to calculate the LCM of 93123 and 93134.

LCM(93123,93134) = 33 × 34491 × 21 × 465671
LCM(93123,93134) = 8672917482