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What is the Least Common Multiple of 72019 and 72034?

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 72019 and 72034 is 5187816646.

LCM(72019,72034) = 5187816646

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Least Common Multiple of 72019 and 72034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72019 and 72034, than apply into the LCM equation.

GCF(72019,72034) = 1
LCM(72019,72034) = ( 72019 × 72034) / 1
LCM(72019,72034) = 5187816646 / 1
LCM(72019,72034) = 5187816646

Least Common Multiple (LCM) of 72019 and 72034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72019 and 72034. First we will calculate the prime factors of 72019 and 72034.

Prime Factorization of 72019

Prime factors of 72019 are 72019. Prime factorization of 72019 in exponential form is:

72019 = 720191

Prime Factorization of 72034

Prime factors of 72034 are 2, 36017. Prime factorization of 72034 in exponential form is:

72034 = 21 × 360171

Now multiplying the highest exponent prime factors to calculate the LCM of 72019 and 72034.

LCM(72019,72034) = 720191 × 21 × 360171
LCM(72019,72034) = 5187816646