What is the Least Common Multiple of 97998 and 98016?

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 97998 and 98016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97998 and 98016, than apply into the LCM equation.

GCF(97998,98016) = 6
LCM(97998,98016) = ( 97998 × 98016) / 6
LCM(97998,98016) = 9605371968 / 6
LCM(97998,98016) = 1600895328

Least Common Multiple (LCM) of 97998 and 98016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97998 and 98016. First we will calculate the prime factors of 97998 and 98016.

Prime Factorization of 97998

Prime Factorization of 98016

Now multiplying the highest exponent prime factors to calculate the LCM of 97998 and 98016.

LCM(97998,98016) = 2⁵ × 3¹ × 16333¹ × 1021¹
LCM(97998,98016) = 1600895328