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What is the Least Common Multiple of 94131 and 94135?

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 94131 and 94135 is 8861021685.

LCM(94131,94135) = 8861021685

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Least Common Multiple of 94131 and 94135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94131 and 94135, than apply into the LCM equation.

GCF(94131,94135) = 1
LCM(94131,94135) = ( 94131 × 94135) / 1
LCM(94131,94135) = 8861021685 / 1
LCM(94131,94135) = 8861021685

Least Common Multiple (LCM) of 94131 and 94135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94131 and 94135. First we will calculate the prime factors of 94131 and 94135.

Prime Factorization of 94131

Prime factors of 94131 are 3, 10459. Prime factorization of 94131 in exponential form is:

94131 = 32 × 104591

Prime Factorization of 94135

Prime factors of 94135 are 5, 67, 281. Prime factorization of 94135 in exponential form is:

94135 = 51 × 671 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 94131 and 94135.

LCM(94131,94135) = 32 × 104591 × 51 × 671 × 2811
LCM(94131,94135) = 8861021685