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What is the Least Common Multiple of 94036 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 94036 and 94055 is 8844555980.

LCM(94036,94055) = 8844555980

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Least Common Multiple of 94036 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 94036 and 94055, than apply into the LCM equation.

GCF(94036,94055) = 1
LCM(94036,94055) = ( 94036 × 94055) / 1
LCM(94036,94055) = 8844555980 / 1
LCM(94036,94055) = 8844555980

Least Common Multiple (LCM) of 94036 and 94055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94036 and 94055. First we will calculate the prime factors of 94036 and 94055.

Prime Factorization of 94036

Prime factors of 94036 are 2, 23509. Prime factorization of 94036 in exponential form is:

94036 = 22 × 235091

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 94036 and 94055.

LCM(94036,94055) = 22 × 235091 × 51 × 131 × 14471
LCM(94036,94055) = 8844555980