What is the Least Common Multiple of 61547 and 61566?

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 61547 and 61566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61547 and 61566, than apply into the LCM equation.

GCF(61547,61566) = 1
LCM(61547,61566) = ( 61547 × 61566) / 1
LCM(61547,61566) = 3789202602 / 1
LCM(61547,61566) = 3789202602

Least Common Multiple (LCM) of 61547 and 61566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61547 and 61566. First we will calculate the prime factors of 61547 and 61566.

Prime Factorization of 61547

Prime Factorization of 61566

Now multiplying the highest exponent prime factors to calculate the LCM of 61547 and 61566.

LCM(61547,61566) = 61547¹ × 2¹ × 3¹ × 31¹ × 331¹
LCM(61547,61566) = 3789202602