What is the Least Common Multiple of 98752 and 98756?

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 98756 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 98756, than apply into the LCM equation.

GCF(98752,98756) = 4
LCM(98752,98756) = ( 98752 × 98756) / 4
LCM(98752,98756) = 9752352512 / 4
LCM(98752,98756) = 2438088128

Least Common Multiple (LCM) of 98752 and 98756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98752 and 98756. First we will calculate the prime factors of 98752 and 98756.

Prime Factorization of 98752

Prime Factorization of 98756

Now multiplying the highest exponent prime factors to calculate the LCM of 98752 and 98756.

LCM(98752,98756) = 2⁶ × 1543¹ × 7¹ × 3527¹
LCM(98752,98756) = 2438088128