What is the Least Common Multiple of 52398 and 52416?

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 52398 and 52416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52398 and 52416, than apply into the LCM equation.

GCF(52398,52416) = 18
LCM(52398,52416) = ( 52398 × 52416) / 18
LCM(52398,52416) = 2746493568 / 18
LCM(52398,52416) = 152582976

Least Common Multiple (LCM) of 52398 and 52416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52398 and 52416. First we will calculate the prime factors of 52398 and 52416.

Prime Factorization of 52398

Prime Factorization of 52416

Now multiplying the highest exponent prime factors to calculate the LCM of 52398 and 52416.

LCM(52398,52416) = 2⁶ × 3² × 41¹ × 71¹ × 7¹ × 13¹
LCM(52398,52416) = 152582976