What is the Least Common Multiple of 53085 and 53100?

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 53085 and 53100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53085 and 53100, than apply into the LCM equation.

GCF(53085,53100) = 15
LCM(53085,53100) = ( 53085 × 53100) / 15
LCM(53085,53100) = 2818813500 / 15
LCM(53085,53100) = 187920900

Least Common Multiple (LCM) of 53085 and 53100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53085 and 53100. First we will calculate the prime factors of 53085 and 53100.

Prime Factorization of 53085

Prime Factorization of 53100

Now multiplying the highest exponent prime factors to calculate the LCM of 53085 and 53100.

LCM(53085,53100) = 3² × 5² × 3539¹ × 2² × 59¹
LCM(53085,53100) = 187920900