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What is the Least Common Multiple of 98031 and 98041?

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 98031 and 98041 is 9611057271.

LCM(98031,98041) = 9611057271

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Least Common Multiple of 98031 and 98041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98031 and 98041, than apply into the LCM equation.

GCF(98031,98041) = 1
LCM(98031,98041) = ( 98031 × 98041) / 1
LCM(98031,98041) = 9611057271 / 1
LCM(98031,98041) = 9611057271

Least Common Multiple (LCM) of 98031 and 98041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98031 and 98041. First we will calculate the prime factors of 98031 and 98041.

Prime Factorization of 98031

Prime factors of 98031 are 3, 41, 797. Prime factorization of 98031 in exponential form is:

98031 = 31 × 411 × 7971

Prime Factorization of 98041

Prime factors of 98041 are 98041. Prime factorization of 98041 in exponential form is:

98041 = 980411

Now multiplying the highest exponent prime factors to calculate the LCM of 98031 and 98041.

LCM(98031,98041) = 31 × 411 × 7971 × 980411
LCM(98031,98041) = 9611057271