What is the Least Common Multiple of 54966 and 54975?

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 54966 and 54975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54966 and 54975, than apply into the LCM equation.

GCF(54966,54975) = 3
LCM(54966,54975) = ( 54966 × 54975) / 3
LCM(54966,54975) = 3021755850 / 3
LCM(54966,54975) = 1007251950

Least Common Multiple (LCM) of 54966 and 54975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54966 and 54975. First we will calculate the prime factors of 54966 and 54975.

Prime Factorization of 54966

Prime Factorization of 54975

Now multiplying the highest exponent prime factors to calculate the LCM of 54966 and 54975.

LCM(54966,54975) = 2¹ × 3¹ × 9161¹ × 5² × 733¹
LCM(54966,54975) = 1007251950