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What is the Least Common Multiple of 94022 and 94042?

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 94022 and 94042 is 4421008462.

LCM(94022,94042) = 4421008462

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Least Common Multiple of 94022 and 94042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94022 and 94042, than apply into the LCM equation.

GCF(94022,94042) = 2
LCM(94022,94042) = ( 94022 × 94042) / 2
LCM(94022,94042) = 8842016924 / 2
LCM(94022,94042) = 4421008462

Least Common Multiple (LCM) of 94022 and 94042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94022 and 94042. First we will calculate the prime factors of 94022 and 94042.

Prime Factorization of 94022

Prime factors of 94022 are 2, 53, 887. Prime factorization of 94022 in exponential form is:

94022 = 21 × 531 × 8871

Prime Factorization of 94042

Prime factors of 94042 are 2, 13, 3617. Prime factorization of 94042 in exponential form is:

94042 = 21 × 131 × 36171

Now multiplying the highest exponent prime factors to calculate the LCM of 94022 and 94042.

LCM(94022,94042) = 21 × 531 × 8871 × 131 × 36171
LCM(94022,94042) = 4421008462