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What is the Least Common Multiple of 98621 and 98637?

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 98621 and 98637 is 9727679577.

LCM(98621,98637) = 9727679577

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Least Common Multiple of 98621 and 98637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98621 and 98637, than apply into the LCM equation.

GCF(98621,98637) = 1
LCM(98621,98637) = ( 98621 × 98637) / 1
LCM(98621,98637) = 9727679577 / 1
LCM(98621,98637) = 9727679577

Least Common Multiple (LCM) of 98621 and 98637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98621 and 98637. First we will calculate the prime factors of 98621 and 98637.

Prime Factorization of 98621

Prime factors of 98621 are 98621. Prime factorization of 98621 in exponential form is:

98621 = 986211

Prime Factorization of 98637

Prime factors of 98637 are 3, 7, 11, 61. Prime factorization of 98637 in exponential form is:

98637 = 31 × 72 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 98621 and 98637.

LCM(98621,98637) = 986211 × 31 × 72 × 111 × 611
LCM(98621,98637) = 9727679577