What is the Least Common Multiple of 98272 and 98283?

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 of 98272 and 98283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98272 and 98283, than apply into the LCM equation.

GCF(98272,98283) = 1
LCM(98272,98283) = ( 98272 × 98283) / 1
LCM(98272,98283) = 9658466976 / 1
LCM(98272,98283) = 9658466976

Least Common Multiple (LCM) of 98272 and 98283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98272 and 98283. First we will calculate the prime factors of 98272 and 98283.

Prime Factorization of 98272

Prime Factorization of 98283

Now multiplying the highest exponent prime factors to calculate the LCM of 98272 and 98283.

LCM(98272,98283) = 2⁵ × 37¹ × 83¹ × 3¹ × 181²
LCM(98272,98283) = 9658466976