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What is the Least Common Multiple of 94412 and 94422?

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 94412 and 94422 is 4457284932.

LCM(94412,94422) = 4457284932

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Least Common Multiple of 94412 and 94422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94412 and 94422, than apply into the LCM equation.

GCF(94412,94422) = 2
LCM(94412,94422) = ( 94412 × 94422) / 2
LCM(94412,94422) = 8914569864 / 2
LCM(94412,94422) = 4457284932

Least Common Multiple (LCM) of 94412 and 94422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94412 and 94422. First we will calculate the prime factors of 94412 and 94422.

Prime Factorization of 94412

Prime factors of 94412 are 2, 23603. Prime factorization of 94412 in exponential form is:

94412 = 22 × 236031

Prime Factorization of 94422

Prime factors of 94422 are 2, 3, 15737. Prime factorization of 94422 in exponential form is:

94422 = 21 × 31 × 157371

Now multiplying the highest exponent prime factors to calculate the LCM of 94412 and 94422.

LCM(94412,94422) = 22 × 236031 × 31 × 157371
LCM(94412,94422) = 4457284932