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What is the Least Common Multiple of 83719 and 83737?

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 83719 and 83737 is 7010377903.

LCM(83719,83737) = 7010377903

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Least Common Multiple of 83719 and 83737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83719 and 83737, than apply into the LCM equation.

GCF(83719,83737) = 1
LCM(83719,83737) = ( 83719 × 83737) / 1
LCM(83719,83737) = 7010377903 / 1
LCM(83719,83737) = 7010377903

Least Common Multiple (LCM) of 83719 and 83737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83719 and 83737. First we will calculate the prime factors of 83719 and 83737.

Prime Factorization of 83719

Prime factors of 83719 are 83719. Prime factorization of 83719 in exponential form is:

83719 = 837191

Prime Factorization of 83737

Prime factors of 83737 are 83737. Prime factorization of 83737 in exponential form is:

83737 = 837371

Now multiplying the highest exponent prime factors to calculate the LCM of 83719 and 83737.

LCM(83719,83737) = 837191 × 837371
LCM(83719,83737) = 7010377903