What is the Least Common Multiple of 53175 and 53180?

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 53175 and 53180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53175 and 53180, than apply into the LCM equation.

GCF(53175,53180) = 5
LCM(53175,53180) = ( 53175 × 53180) / 5
LCM(53175,53180) = 2827846500 / 5
LCM(53175,53180) = 565569300

Least Common Multiple (LCM) of 53175 and 53180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53175 and 53180. First we will calculate the prime factors of 53175 and 53180.

Prime Factorization of 53175

Prime Factorization of 53180

Now multiplying the highest exponent prime factors to calculate the LCM of 53175 and 53180.

LCM(53175,53180) = 3¹ × 5² × 709¹ × 2² × 2659¹
LCM(53175,53180) = 565569300