What is the Least Common Multiple of 52845 and 52860?

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 52845 and 52860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52845 and 52860, than apply into the LCM equation.

GCF(52845,52860) = 15
LCM(52845,52860) = ( 52845 × 52860) / 15
LCM(52845,52860) = 2793386700 / 15
LCM(52845,52860) = 186225780

Least Common Multiple (LCM) of 52845 and 52860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52845 and 52860. First we will calculate the prime factors of 52845 and 52860.

Prime Factorization of 52845

Prime Factorization of 52860

Now multiplying the highest exponent prime factors to calculate the LCM of 52845 and 52860.

LCM(52845,52860) = 3¹ × 5¹ × 13¹ × 271¹ × 2² × 881¹
LCM(52845,52860) = 186225780