What is the Least Common Multiple of 52360 and 52378?

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 52360 and 52378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52360 and 52378, than apply into the LCM equation.

GCF(52360,52378) = 2
LCM(52360,52378) = ( 52360 × 52378) / 2
LCM(52360,52378) = 2742512080 / 2
LCM(52360,52378) = 1371256040

Least Common Multiple (LCM) of 52360 and 52378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52360 and 52378. First we will calculate the prime factors of 52360 and 52378.

Prime Factorization of 52360

Prime Factorization of 52378

Now multiplying the highest exponent prime factors to calculate the LCM of 52360 and 52378.

LCM(52360,52378) = 2³ × 5¹ × 7¹ × 11¹ × 17¹ × 26189¹
LCM(52360,52378) = 1371256040