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What is the Least Common Multiple of 94006 and 94019?

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 94006 and 94019 is 8838350114.

LCM(94006,94019) = 8838350114

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Least Common Multiple of 94006 and 94019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94006 and 94019, than apply into the LCM equation.

GCF(94006,94019) = 1
LCM(94006,94019) = ( 94006 × 94019) / 1
LCM(94006,94019) = 8838350114 / 1
LCM(94006,94019) = 8838350114

Least Common Multiple (LCM) of 94006 and 94019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94006 and 94019. First we will calculate the prime factors of 94006 and 94019.

Prime Factorization of 94006

Prime factors of 94006 are 2, 11, 4273. Prime factorization of 94006 in exponential form is:

94006 = 21 × 111 × 42731

Prime Factorization of 94019

Prime factors of 94019 are 149, 631. Prime factorization of 94019 in exponential form is:

94019 = 1491 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 94006 and 94019.

LCM(94006,94019) = 21 × 111 × 42731 × 1491 × 6311
LCM(94006,94019) = 8838350114