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What is the Least Common Multiple of 98941 and 98949?

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 98941 and 98949 is 9790113009.

LCM(98941,98949) = 9790113009

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Least Common Multiple of 98941 and 98949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98941 and 98949, than apply into the LCM equation.

GCF(98941,98949) = 1
LCM(98941,98949) = ( 98941 × 98949) / 1
LCM(98941,98949) = 9790113009 / 1
LCM(98941,98949) = 9790113009

Least Common Multiple (LCM) of 98941 and 98949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98941 and 98949. First we will calculate the prime factors of 98941 and 98949.

Prime Factorization of 98941

Prime factors of 98941 are 163, 607. Prime factorization of 98941 in exponential form is:

98941 = 1631 × 6071

Prime Factorization of 98949

Prime factors of 98949 are 3, 32983. Prime factorization of 98949 in exponential form is:

98949 = 31 × 329831

Now multiplying the highest exponent prime factors to calculate the LCM of 98941 and 98949.

LCM(98941,98949) = 1631 × 6071 × 31 × 329831
LCM(98941,98949) = 9790113009