What is the Least Common Multiple of 52548 and 52560?

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 52548 and 52560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52548 and 52560, than apply into the LCM equation.

GCF(52548,52560) = 12
LCM(52548,52560) = ( 52548 × 52560) / 12
LCM(52548,52560) = 2761922880 / 12
LCM(52548,52560) = 230160240

Least Common Multiple (LCM) of 52548 and 52560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52548 and 52560. First we will calculate the prime factors of 52548 and 52560.

Prime Factorization of 52548

Prime Factorization of 52560

Now multiplying the highest exponent prime factors to calculate the LCM of 52548 and 52560.

LCM(52548,52560) = 2⁴ × 3² × 29¹ × 151¹ × 5¹ × 73¹
LCM(52548,52560) = 230160240