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What is the Least Common Multiple of 94020 and 94039?

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 94020 and 94039 is 8841546780.

LCM(94020,94039) = 8841546780

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Least Common Multiple of 94020 and 94039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94020 and 94039, than apply into the LCM equation.

GCF(94020,94039) = 1
LCM(94020,94039) = ( 94020 × 94039) / 1
LCM(94020,94039) = 8841546780 / 1
LCM(94020,94039) = 8841546780

Least Common Multiple (LCM) of 94020 and 94039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94020 and 94039. First we will calculate the prime factors of 94020 and 94039.

Prime Factorization of 94020

Prime factors of 94020 are 2, 3, 5, 1567. Prime factorization of 94020 in exponential form is:

94020 = 22 × 31 × 51 × 15671

Prime Factorization of 94039

Prime factors of 94039 are 11, 83, 103. Prime factorization of 94039 in exponential form is:

94039 = 111 × 831 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 94020 and 94039.

LCM(94020,94039) = 22 × 31 × 51 × 15671 × 111 × 831 × 1031
LCM(94020,94039) = 8841546780