What is the Least Common Multiple of 98544 and 98564?

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 98544 and 98564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98544 and 98564, than apply into the LCM equation.

GCF(98544,98564) = 4
LCM(98544,98564) = ( 98544 × 98564) / 4
LCM(98544,98564) = 9712890816 / 4
LCM(98544,98564) = 2428222704

Least Common Multiple (LCM) of 98544 and 98564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98544 and 98564. First we will calculate the prime factors of 98544 and 98564.

Prime Factorization of 98544

Prime Factorization of 98564

Now multiplying the highest exponent prime factors to calculate the LCM of 98544 and 98564.

LCM(98544,98564) = 2⁴ × 3¹ × 2053¹ × 41¹ × 601¹
LCM(98544,98564) = 2428222704