What is the Least Common Multiple of 98748 and 98764?

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 98748 and 98764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98748 and 98764, than apply into the LCM equation.

GCF(98748,98764) = 4
LCM(98748,98764) = ( 98748 × 98764) / 4
LCM(98748,98764) = 9752747472 / 4
LCM(98748,98764) = 2438186868

Least Common Multiple (LCM) of 98748 and 98764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98748 and 98764. First we will calculate the prime factors of 98748 and 98764.

Prime Factorization of 98748

Prime Factorization of 98764

Now multiplying the highest exponent prime factors to calculate the LCM of 98748 and 98764.

LCM(98748,98764) = 2² × 3² × 13¹ × 211¹ × 24691¹
LCM(98748,98764) = 2438186868