What is the Least Common Multiple of 52343 and 52360?

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 52343 and 52360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52343 and 52360, than apply into the LCM equation.

GCF(52343,52360) = 17
LCM(52343,52360) = ( 52343 × 52360) / 17
LCM(52343,52360) = 2740679480 / 17
LCM(52343,52360) = 161216440

Least Common Multiple (LCM) of 52343 and 52360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52343 and 52360. First we will calculate the prime factors of 52343 and 52360.

Prime Factorization of 52343

Prime Factorization of 52360

Now multiplying the highest exponent prime factors to calculate the LCM of 52343 and 52360.

LCM(52343,52360) = 17¹ × 3079¹ × 2³ × 5¹ × 7¹ × 11¹
LCM(52343,52360) = 161216440