What is the Least Common Multiple of 48946 and 48952?

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 48946 and 48952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48946 and 48952, than apply into the LCM equation.

GCF(48946,48952) = 2
LCM(48946,48952) = ( 48946 × 48952) / 2
LCM(48946,48952) = 2396004592 / 2
LCM(48946,48952) = 1198002296

Least Common Multiple (LCM) of 48946 and 48952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48946 and 48952. First we will calculate the prime factors of 48946 and 48952.

Prime Factorization of 48946

Prime Factorization of 48952

Now multiplying the highest exponent prime factors to calculate the LCM of 48946 and 48952.

LCM(48946,48952) = 2³ × 24473¹ × 29¹ × 211¹
LCM(48946,48952) = 1198002296