What is the Least Common Multiple of 53325 and 53340?

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 53325 and 53340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53325 and 53340, than apply into the LCM equation.

GCF(53325,53340) = 15
LCM(53325,53340) = ( 53325 × 53340) / 15
LCM(53325,53340) = 2844355500 / 15
LCM(53325,53340) = 189623700

Least Common Multiple (LCM) of 53325 and 53340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53325 and 53340. First we will calculate the prime factors of 53325 and 53340.

Prime Factorization of 53325

Prime Factorization of 53340

Now multiplying the highest exponent prime factors to calculate the LCM of 53325 and 53340.

LCM(53325,53340) = 3³ × 5² × 79¹ × 2² × 7¹ × 127¹
LCM(53325,53340) = 189623700