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What is the Least Common Multiple of 84918 and 84937?

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 84918 and 84937 is 7212680166.

LCM(84918,84937) = 7212680166

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Least Common Multiple of 84918 and 84937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84918 and 84937, than apply into the LCM equation.

GCF(84918,84937) = 1
LCM(84918,84937) = ( 84918 × 84937) / 1
LCM(84918,84937) = 7212680166 / 1
LCM(84918,84937) = 7212680166

Least Common Multiple (LCM) of 84918 and 84937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84918 and 84937. First we will calculate the prime factors of 84918 and 84937.

Prime Factorization of 84918

Prime factors of 84918 are 2, 3, 14153. Prime factorization of 84918 in exponential form is:

84918 = 21 × 31 × 141531

Prime Factorization of 84937

Prime factors of 84937 are 157, 541. Prime factorization of 84937 in exponential form is:

84937 = 1571 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 84918 and 84937.

LCM(84918,84937) = 21 × 31 × 141531 × 1571 × 5411
LCM(84918,84937) = 7212680166