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What is the Least Common Multiple of 94022 and 94031?

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 94031 is 8840982682.

LCM(94022,94031) = 8840982682

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Least Common Multiple of 94022 and 94031 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 94031, than apply into the LCM equation.

GCF(94022,94031) = 1
LCM(94022,94031) = ( 94022 × 94031) / 1
LCM(94022,94031) = 8840982682 / 1
LCM(94022,94031) = 8840982682

Least Common Multiple (LCM) of 94022 and 94031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94022 and 94031. First we will calculate the prime factors of 94022 and 94031.

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 94031

Prime factors of 94031 are 7, 19, 101. Prime factorization of 94031 in exponential form is:

94031 = 72 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 94022 and 94031.

LCM(94022,94031) = 21 × 531 × 8871 × 72 × 191 × 1011
LCM(94022,94031) = 8840982682