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What is the Least Common Multiple of 98366 and 98372?

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 98366 and 98372 is 4838230076.

LCM(98366,98372) = 4838230076

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Least Common Multiple of 98366 and 98372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98366 and 98372, than apply into the LCM equation.

GCF(98366,98372) = 2
LCM(98366,98372) = ( 98366 × 98372) / 2
LCM(98366,98372) = 9676460152 / 2
LCM(98366,98372) = 4838230076

Least Common Multiple (LCM) of 98366 and 98372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98366 and 98372. First we will calculate the prime factors of 98366 and 98372.

Prime Factorization of 98366

Prime factors of 98366 are 2, 137, 359. Prime factorization of 98366 in exponential form is:

98366 = 21 × 1371 × 3591

Prime Factorization of 98372

Prime factors of 98372 are 2, 24593. Prime factorization of 98372 in exponential form is:

98372 = 22 × 245931

Now multiplying the highest exponent prime factors to calculate the LCM of 98366 and 98372.

LCM(98366,98372) = 22 × 1371 × 3591 × 245931
LCM(98366,98372) = 4838230076