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What is the Least Common Multiple of 94130 and 94142?

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 94130 and 94142 is 4430793230.

LCM(94130,94142) = 4430793230

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Least Common Multiple of 94130 and 94142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94130 and 94142, than apply into the LCM equation.

GCF(94130,94142) = 2
LCM(94130,94142) = ( 94130 × 94142) / 2
LCM(94130,94142) = 8861586460 / 2
LCM(94130,94142) = 4430793230

Least Common Multiple (LCM) of 94130 and 94142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94130 and 94142. First we will calculate the prime factors of 94130 and 94142.

Prime Factorization of 94130

Prime factors of 94130 are 2, 5, 9413. Prime factorization of 94130 in exponential form is:

94130 = 21 × 51 × 94131

Prime Factorization of 94142

Prime factors of 94142 are 2, 103, 457. Prime factorization of 94142 in exponential form is:

94142 = 21 × 1031 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 94130 and 94142.

LCM(94130,94142) = 21 × 51 × 94131 × 1031 × 4571
LCM(94130,94142) = 4430793230