What is the Least Common Multiple of 98268 and 98272?

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 98268 and 98272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98268 and 98272, than apply into the LCM equation.

GCF(98268,98272) = 4
LCM(98268,98272) = ( 98268 × 98272) / 4
LCM(98268,98272) = 9656992896 / 4
LCM(98268,98272) = 2414248224

Least Common Multiple (LCM) of 98268 and 98272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98268 and 98272. First we will calculate the prime factors of 98268 and 98272.

Prime Factorization of 98268

Prime Factorization of 98272

Now multiplying the highest exponent prime factors to calculate the LCM of 98268 and 98272.

LCM(98268,98272) = 2⁵ × 3¹ × 19¹ × 431¹ × 37¹ × 83¹
LCM(98268,98272) = 2414248224