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What is the Least Common Multiple of 93121 and 93127?

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 93121 and 93127 is 8672079367.

LCM(93121,93127) = 8672079367

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Least Common Multiple of 93121 and 93127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93121 and 93127, than apply into the LCM equation.

GCF(93121,93127) = 1
LCM(93121,93127) = ( 93121 × 93127) / 1
LCM(93121,93127) = 8672079367 / 1
LCM(93121,93127) = 8672079367

Least Common Multiple (LCM) of 93121 and 93127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93121 and 93127. First we will calculate the prime factors of 93121 and 93127.

Prime Factorization of 93121

Prime factors of 93121 are 7, 53, 251. Prime factorization of 93121 in exponential form is:

93121 = 71 × 531 × 2511

Prime Factorization of 93127

Prime factors of 93127 are 23, 4049. Prime factorization of 93127 in exponential form is:

93127 = 231 × 40491

Now multiplying the highest exponent prime factors to calculate the LCM of 93121 and 93127.

LCM(93121,93127) = 71 × 531 × 2511 × 231 × 40491
LCM(93121,93127) = 8672079367