What is the Least Common Multiple of 98976 and 98992?

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 98976 and 98992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98976 and 98992, than apply into the LCM equation.

GCF(98976,98992) = 16
LCM(98976,98992) = ( 98976 × 98992) / 16
LCM(98976,98992) = 9797832192 / 16
LCM(98976,98992) = 612364512

Least Common Multiple (LCM) of 98976 and 98992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98976 and 98992. First we will calculate the prime factors of 98976 and 98992.

Prime Factorization of 98976

Prime Factorization of 98992

Now multiplying the highest exponent prime factors to calculate the LCM of 98976 and 98992.

LCM(98976,98992) = 2⁵ × 3¹ × 1031¹ × 23¹ × 269¹
LCM(98976,98992) = 612364512