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What is the Least Common Multiple of 98659 and 98666?

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 98659 and 98666 is 9734288894.

LCM(98659,98666) = 9734288894

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Least Common Multiple of 98659 and 98666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98659 and 98666, than apply into the LCM equation.

GCF(98659,98666) = 1
LCM(98659,98666) = ( 98659 × 98666) / 1
LCM(98659,98666) = 9734288894 / 1
LCM(98659,98666) = 9734288894

Least Common Multiple (LCM) of 98659 and 98666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98659 and 98666. First we will calculate the prime factors of 98659 and 98666.

Prime Factorization of 98659

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

98659 = 111 × 89691

Prime Factorization of 98666

Prime factors of 98666 are 2, 49333. Prime factorization of 98666 in exponential form is:

98666 = 21 × 493331

Now multiplying the highest exponent prime factors to calculate the LCM of 98659 and 98666.

LCM(98659,98666) = 111 × 89691 × 21 × 493331
LCM(98659,98666) = 9734288894