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What is the Least Common Multiple of 98672 and 98691?

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 98672 and 98691 is 9738038352.

LCM(98672,98691) = 9738038352

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Least Common Multiple of 98672 and 98691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98672 and 98691, than apply into the LCM equation.

GCF(98672,98691) = 1
LCM(98672,98691) = ( 98672 × 98691) / 1
LCM(98672,98691) = 9738038352 / 1
LCM(98672,98691) = 9738038352

Least Common Multiple (LCM) of 98672 and 98691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98672 and 98691. First we will calculate the prime factors of 98672 and 98691.

Prime Factorization of 98672

Prime factors of 98672 are 2, 7, 881. Prime factorization of 98672 in exponential form is:

98672 = 24 × 71 × 8811

Prime Factorization of 98691

Prime factors of 98691 are 3, 67, 491. Prime factorization of 98691 in exponential form is:

98691 = 31 × 671 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 98672 and 98691.

LCM(98672,98691) = 24 × 71 × 8811 × 31 × 671 × 4911
LCM(98672,98691) = 9738038352