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What is the Least Common Multiple of 84908 and 84926?

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 84908 and 84926 is 3605448404.

LCM(84908,84926) = 3605448404

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Least Common Multiple of 84908 and 84926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84908 and 84926, than apply into the LCM equation.

GCF(84908,84926) = 2
LCM(84908,84926) = ( 84908 × 84926) / 2
LCM(84908,84926) = 7210896808 / 2
LCM(84908,84926) = 3605448404

Least Common Multiple (LCM) of 84908 and 84926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84908 and 84926. First we will calculate the prime factors of 84908 and 84926.

Prime Factorization of 84908

Prime factors of 84908 are 2, 21227. Prime factorization of 84908 in exponential form is:

84908 = 22 × 212271

Prime Factorization of 84926

Prime factors of 84926 are 2, 42463. Prime factorization of 84926 in exponential form is:

84926 = 21 × 424631

Now multiplying the highest exponent prime factors to calculate the LCM of 84908 and 84926.

LCM(84908,84926) = 22 × 212271 × 424631
LCM(84908,84926) = 3605448404