What is the Least Common Multiple of 53380 and 53385?

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 53380 and 53385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53380 and 53385, than apply into the LCM equation.

GCF(53380,53385) = 5
LCM(53380,53385) = ( 53380 × 53385) / 5
LCM(53380,53385) = 2849691300 / 5
LCM(53380,53385) = 569938260

Least Common Multiple (LCM) of 53380 and 53385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53380 and 53385. First we will calculate the prime factors of 53380 and 53385.

Prime Factorization of 53380

Prime Factorization of 53385

Now multiplying the highest exponent prime factors to calculate the LCM of 53380 and 53385.

LCM(53380,53385) = 2² × 5¹ × 17¹ × 157¹ × 3¹ × 3559¹
LCM(53380,53385) = 569938260