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What is the Least Common Multiple of 94042 and 94055?

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 94042 and 94055 is 680393870.

LCM(94042,94055) = 680393870

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Least Common Multiple of 94042 and 94055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94042 and 94055, than apply into the LCM equation.

GCF(94042,94055) = 13
LCM(94042,94055) = ( 94042 × 94055) / 13
LCM(94042,94055) = 8845120310 / 13
LCM(94042,94055) = 680393870

Least Common Multiple (LCM) of 94042 and 94055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94042 and 94055. First we will calculate the prime factors of 94042 and 94055.

Prime Factorization of 94042

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

94042 = 21 × 131 × 36171

Prime Factorization of 94055

Prime factors of 94055 are 5, 13, 1447. Prime factorization of 94055 in exponential form is:

94055 = 51 × 131 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 94042 and 94055.

LCM(94042,94055) = 21 × 131 × 36171 × 51 × 14471
LCM(94042,94055) = 680393870