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What is the Least Common Multiple of 98377 and 98390?

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 98377 and 98390 is 9679313030.

LCM(98377,98390) = 9679313030

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Least Common Multiple of 98377 and 98390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98377 and 98390, than apply into the LCM equation.

GCF(98377,98390) = 1
LCM(98377,98390) = ( 98377 × 98390) / 1
LCM(98377,98390) = 9679313030 / 1
LCM(98377,98390) = 9679313030

Least Common Multiple (LCM) of 98377 and 98390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98377 and 98390. First we will calculate the prime factors of 98377 and 98390.

Prime Factorization of 98377

Prime factors of 98377 are 98377. Prime factorization of 98377 in exponential form is:

98377 = 983771

Prime Factorization of 98390

Prime factors of 98390 are 2, 5, 9839. Prime factorization of 98390 in exponential form is:

98390 = 21 × 51 × 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 98377 and 98390.

LCM(98377,98390) = 983771 × 21 × 51 × 98391
LCM(98377,98390) = 9679313030