What is the Least Common Multiple of 98772 and 98781?

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 98772 and 98781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98772 and 98781, than apply into the LCM equation.

GCF(98772,98781) = 3
LCM(98772,98781) = ( 98772 × 98781) / 3
LCM(98772,98781) = 9756796932 / 3
LCM(98772,98781) = 3252265644

Least Common Multiple (LCM) of 98772 and 98781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98772 and 98781. First we will calculate the prime factors of 98772 and 98781.

Prime Factorization of 98772

Prime Factorization of 98781

Now multiplying the highest exponent prime factors to calculate the LCM of 98772 and 98781.

LCM(98772,98781) = 2² × 3¹ × 8231¹ × 19¹ × 1733¹
LCM(98772,98781) = 3252265644