What is the Least Common Multiple of 54946 and 54952?

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 54946 and 54952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54946 and 54952, than apply into the LCM equation.

GCF(54946,54952) = 2
LCM(54946,54952) = ( 54946 × 54952) / 2
LCM(54946,54952) = 3019392592 / 2
LCM(54946,54952) = 1509696296

Least Common Multiple (LCM) of 54946 and 54952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54946 and 54952. First we will calculate the prime factors of 54946 and 54952.

Prime Factorization of 54946

Prime Factorization of 54952

Now multiplying the highest exponent prime factors to calculate the LCM of 54946 and 54952.

LCM(54946,54952) = 2³ × 83¹ × 331¹ × 6869¹
LCM(54946,54952) = 1509696296