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What is the Least Common Multiple of 98737 and 98751?

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 98737 and 98751 is 9750377487.

LCM(98737,98751) = 9750377487

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Least Common Multiple of 98737 and 98751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98737 and 98751, than apply into the LCM equation.

GCF(98737,98751) = 1
LCM(98737,98751) = ( 98737 × 98751) / 1
LCM(98737,98751) = 9750377487 / 1
LCM(98737,98751) = 9750377487

Least Common Multiple (LCM) of 98737 and 98751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98737 and 98751. First we will calculate the prime factors of 98737 and 98751.

Prime Factorization of 98737

Prime factors of 98737 are 98737. Prime factorization of 98737 in exponential form is:

98737 = 987371

Prime Factorization of 98751

Prime factors of 98751 are 3, 32917. Prime factorization of 98751 in exponential form is:

98751 = 31 × 329171

Now multiplying the highest exponent prime factors to calculate the LCM of 98737 and 98751.

LCM(98737,98751) = 987371 × 31 × 329171
LCM(98737,98751) = 9750377487