What is the Least Common Multiple of 98764 and 98780?

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 98764 and 98780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98764 and 98780, than apply into the LCM equation.

GCF(98764,98780) = 4
LCM(98764,98780) = ( 98764 × 98780) / 4
LCM(98764,98780) = 9755907920 / 4
LCM(98764,98780) = 2438976980

Least Common Multiple (LCM) of 98764 and 98780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98764 and 98780. First we will calculate the prime factors of 98764 and 98780.

Prime Factorization of 98764

Prime Factorization of 98780

Now multiplying the highest exponent prime factors to calculate the LCM of 98764 and 98780.

LCM(98764,98780) = 2² × 24691¹ × 5¹ × 11¹ × 449¹
LCM(98764,98780) = 2438976980