What is the Least Common Multiple of 98772 and 98789?

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 98789 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 98789, than apply into the LCM equation.

GCF(98772,98789) = 1
LCM(98772,98789) = ( 98772 × 98789) / 1
LCM(98772,98789) = 9757587108 / 1
LCM(98772,98789) = 9757587108

Least Common Multiple (LCM) of 98772 and 98789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98772 and 98789. First we will calculate the prime factors of 98772 and 98789.

Prime Factorization of 98772

Prime Factorization of 98789

Now multiplying the highest exponent prime factors to calculate the LCM of 98772 and 98789.

LCM(98772,98789) = 2² × 3¹ × 8231¹ × 223¹ × 443¹
LCM(98772,98789) = 9757587108