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What is the Least Common Multiple of 98368 and 98377?

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 98368 and 98377 is 9677148736.

LCM(98368,98377) = 9677148736

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Least Common Multiple of 98368 and 98377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98368 and 98377, than apply into the LCM equation.

GCF(98368,98377) = 1
LCM(98368,98377) = ( 98368 × 98377) / 1
LCM(98368,98377) = 9677148736 / 1
LCM(98368,98377) = 9677148736

Least Common Multiple (LCM) of 98368 and 98377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98368 and 98377. First we will calculate the prime factors of 98368 and 98377.

Prime Factorization of 98368

Prime factors of 98368 are 2, 29, 53. Prime factorization of 98368 in exponential form is:

98368 = 26 × 291 × 531

Prime Factorization of 98377

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

98377 = 983771

Now multiplying the highest exponent prime factors to calculate the LCM of 98368 and 98377.

LCM(98368,98377) = 26 × 291 × 531 × 983771
LCM(98368,98377) = 9677148736