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What is the Least Common Multiple of 84938 and 84957?

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 84938 and 84957 is 7216077666.

LCM(84938,84957) = 7216077666

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Least Common Multiple of 84938 and 84957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84938 and 84957, than apply into the LCM equation.

GCF(84938,84957) = 1
LCM(84938,84957) = ( 84938 × 84957) / 1
LCM(84938,84957) = 7216077666 / 1
LCM(84938,84957) = 7216077666

Least Common Multiple (LCM) of 84938 and 84957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84938 and 84957. First we will calculate the prime factors of 84938 and 84957.

Prime Factorization of 84938

Prime factors of 84938 are 2, 7, 6067. Prime factorization of 84938 in exponential form is:

84938 = 21 × 71 × 60671

Prime Factorization of 84957

Prime factors of 84957 are 3, 28319. Prime factorization of 84957 in exponential form is:

84957 = 31 × 283191

Now multiplying the highest exponent prime factors to calculate the LCM of 84938 and 84957.

LCM(84938,84957) = 21 × 71 × 60671 × 31 × 283191
LCM(84938,84957) = 7216077666