What is the Least Common Multiple of 61548 and 61563?

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 61548 and 61563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61548 and 61563, than apply into the LCM equation.

GCF(61548,61563) = 3
LCM(61548,61563) = ( 61548 × 61563) / 3
LCM(61548,61563) = 3789079524 / 3
LCM(61548,61563) = 1263026508

Least Common Multiple (LCM) of 61548 and 61563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61548 and 61563. First we will calculate the prime factors of 61548 and 61563.

Prime Factorization of 61548

Prime Factorization of 61563

Now multiplying the highest exponent prime factors to calculate the LCM of 61548 and 61563.

LCM(61548,61563) = 2² × 3¹ × 23¹ × 223¹ × 20521¹
LCM(61548,61563) = 1263026508