What is the Least Common Multiple of 52335 and 52344?

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 52335 and 52344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52335 and 52344, than apply into the LCM equation.

GCF(52335,52344) = 9
LCM(52335,52344) = ( 52335 × 52344) / 9
LCM(52335,52344) = 2739423240 / 9
LCM(52335,52344) = 304380360

Least Common Multiple (LCM) of 52335 and 52344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52335 and 52344. First we will calculate the prime factors of 52335 and 52344.

Prime Factorization of 52335

Prime Factorization of 52344

Now multiplying the highest exponent prime factors to calculate the LCM of 52335 and 52344.

LCM(52335,52344) = 3² × 5¹ × 1163¹ × 2³ × 727¹
LCM(52335,52344) = 304380360