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What is the Least Common Multiple of 98641 and 98659?

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 98641 and 98659 is 9731822419.

LCM(98641,98659) = 9731822419

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Least Common Multiple of 98641 and 98659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98641 and 98659, than apply into the LCM equation.

GCF(98641,98659) = 1
LCM(98641,98659) = ( 98641 × 98659) / 1
LCM(98641,98659) = 9731822419 / 1
LCM(98641,98659) = 9731822419

Least Common Multiple (LCM) of 98641 and 98659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98641 and 98659. First we will calculate the prime factors of 98641 and 98659.

Prime Factorization of 98641

Prime factors of 98641 are 98641. Prime factorization of 98641 in exponential form is:

98641 = 986411

Prime Factorization of 98659

Prime factors of 98659 are 11, 8969. Prime factorization of 98659 in exponential form is:

98659 = 111 × 89691

Now multiplying the highest exponent prime factors to calculate the LCM of 98641 and 98659.

LCM(98641,98659) = 986411 × 111 × 89691
LCM(98641,98659) = 9731822419