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What is the Least Common Multiple of 98330 and 98337?

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 98330 and 98337 is 9669477210.

LCM(98330,98337) = 9669477210

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Least Common Multiple of 98330 and 98337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98330 and 98337, than apply into the LCM equation.

GCF(98330,98337) = 1
LCM(98330,98337) = ( 98330 × 98337) / 1
LCM(98330,98337) = 9669477210 / 1
LCM(98330,98337) = 9669477210

Least Common Multiple (LCM) of 98330 and 98337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98330 and 98337. First we will calculate the prime factors of 98330 and 98337.

Prime Factorization of 98330

Prime factors of 98330 are 2, 5, 9833. Prime factorization of 98330 in exponential form is:

98330 = 21 × 51 × 98331

Prime Factorization of 98337

Prime factors of 98337 are 3, 32779. Prime factorization of 98337 in exponential form is:

98337 = 31 × 327791

Now multiplying the highest exponent prime factors to calculate the LCM of 98330 and 98337.

LCM(98330,98337) = 21 × 51 × 98331 × 31 × 327791
LCM(98330,98337) = 9669477210