What is the Least Common Multiple of 98752 and 98772?

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 98752 and 98772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98752 and 98772, than apply into the LCM equation.

GCF(98752,98772) = 4
LCM(98752,98772) = ( 98752 × 98772) / 4
LCM(98752,98772) = 9753932544 / 4
LCM(98752,98772) = 2438483136

Least Common Multiple (LCM) of 98752 and 98772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98752 and 98772. First we will calculate the prime factors of 98752 and 98772.

Prime Factorization of 98752

Prime Factorization of 98772

Now multiplying the highest exponent prime factors to calculate the LCM of 98752 and 98772.

LCM(98752,98772) = 2⁶ × 1543¹ × 3¹ × 8231¹
LCM(98752,98772) = 2438483136