What is the Least Common Multiple of 61566 and 61584?

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 61566 and 61584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61566 and 61584, than apply into the LCM equation.

GCF(61566,61584) = 6
LCM(61566,61584) = ( 61566 × 61584) / 6
LCM(61566,61584) = 3791480544 / 6
LCM(61566,61584) = 631913424

Least Common Multiple (LCM) of 61566 and 61584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61566 and 61584. First we will calculate the prime factors of 61566 and 61584.

Prime Factorization of 61566

Prime Factorization of 61584

Now multiplying the highest exponent prime factors to calculate the LCM of 61566 and 61584.

LCM(61566,61584) = 2⁴ × 3¹ × 31¹ × 331¹ × 1283¹
LCM(61566,61584) = 631913424