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What is the Least Common Multiple of 84986 and 84991?

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 84986 and 84991 is 7223045126.

LCM(84986,84991) = 7223045126

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Least Common Multiple of 84986 and 84991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84986 and 84991, than apply into the LCM equation.

GCF(84986,84991) = 1
LCM(84986,84991) = ( 84986 × 84991) / 1
LCM(84986,84991) = 7223045126 / 1
LCM(84986,84991) = 7223045126

Least Common Multiple (LCM) of 84986 and 84991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84986 and 84991. First we will calculate the prime factors of 84986 and 84991.

Prime Factorization of 84986

Prime factors of 84986 are 2, 11, 3863. Prime factorization of 84986 in exponential form is:

84986 = 21 × 111 × 38631

Prime Factorization of 84991

Prime factors of 84991 are 84991. Prime factorization of 84991 in exponential form is:

84991 = 849911

Now multiplying the highest exponent prime factors to calculate the LCM of 84986 and 84991.

LCM(84986,84991) = 21 × 111 × 38631 × 849911
LCM(84986,84991) = 7223045126