What is the Least Common Multiple of 48594 and 48608?

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 48594 and 48608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48594 and 48608, than apply into the LCM equation.

GCF(48594,48608) = 14
LCM(48594,48608) = ( 48594 × 48608) / 14
LCM(48594,48608) = 2362057152 / 14
LCM(48594,48608) = 168718368

Least Common Multiple (LCM) of 48594 and 48608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48594 and 48608. First we will calculate the prime factors of 48594 and 48608.

Prime Factorization of 48594

Prime Factorization of 48608

Now multiplying the highest exponent prime factors to calculate the LCM of 48594 and 48608.

LCM(48594,48608) = 2⁵ × 3¹ × 7² × 13¹ × 89¹ × 31¹
LCM(48594,48608) = 168718368