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What is the Least Common Multiple of 98737 and 98748?

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 98748 is 9750081276.

LCM(98737,98748) = 9750081276

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Least Common Multiple of 98737 and 98748 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 98748, than apply into the LCM equation.

GCF(98737,98748) = 1
LCM(98737,98748) = ( 98737 × 98748) / 1
LCM(98737,98748) = 9750081276 / 1
LCM(98737,98748) = 9750081276

Least Common Multiple (LCM) of 98737 and 98748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98737 and 98748. First we will calculate the prime factors of 98737 and 98748.

Prime Factorization of 98737

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

98737 = 987371

Prime Factorization of 98748

Prime factors of 98748 are 2, 3, 13, 211. Prime factorization of 98748 in exponential form is:

98748 = 22 × 32 × 131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 98737 and 98748.

LCM(98737,98748) = 987371 × 22 × 32 × 131 × 2111
LCM(98737,98748) = 9750081276