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What is the Least Common Multiple of 98219 and 98237?

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 98219 and 98237 is 9648739903.

LCM(98219,98237) = 9648739903

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Least Common Multiple of 98219 and 98237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98219 and 98237, than apply into the LCM equation.

GCF(98219,98237) = 1
LCM(98219,98237) = ( 98219 × 98237) / 1
LCM(98219,98237) = 9648739903 / 1
LCM(98219,98237) = 9648739903

Least Common Multiple (LCM) of 98219 and 98237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98219 and 98237. First we will calculate the prime factors of 98219 and 98237.

Prime Factorization of 98219

Prime factors of 98219 are 11, 8929. Prime factorization of 98219 in exponential form is:

98219 = 111 × 89291

Prime Factorization of 98237

Prime factors of 98237 are 193, 509. Prime factorization of 98237 in exponential form is:

98237 = 1931 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 98219 and 98237.

LCM(98219,98237) = 111 × 89291 × 1931 × 5091
LCM(98219,98237) = 9648739903