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What is the Least Common Multiple of 84037 and 84057?

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 84037 and 84057 is 7063898109.

LCM(84037,84057) = 7063898109

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Least Common Multiple of 84037 and 84057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84037 and 84057, than apply into the LCM equation.

GCF(84037,84057) = 1
LCM(84037,84057) = ( 84037 × 84057) / 1
LCM(84037,84057) = 7063898109 / 1
LCM(84037,84057) = 7063898109

Least Common Multiple (LCM) of 84037 and 84057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84037 and 84057. First we will calculate the prime factors of 84037 and 84057.

Prime Factorization of 84037

Prime factors of 84037 are 19, 4423. Prime factorization of 84037 in exponential form is:

84037 = 191 × 44231

Prime Factorization of 84057

Prime factors of 84057 are 3, 28019. Prime factorization of 84057 in exponential form is:

84057 = 31 × 280191

Now multiplying the highest exponent prime factors to calculate the LCM of 84037 and 84057.

LCM(84037,84057) = 191 × 44231 × 31 × 280191
LCM(84037,84057) = 7063898109