What is the Least Common Multiple of 41946 and 41952?

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 41946 and 41952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41946 and 41952, than apply into the LCM equation.

GCF(41946,41952) = 6
LCM(41946,41952) = ( 41946 × 41952) / 6
LCM(41946,41952) = 1759718592 / 6
LCM(41946,41952) = 293286432

Least Common Multiple (LCM) of 41946 and 41952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41946 and 41952. First we will calculate the prime factors of 41946 and 41952.

Prime Factorization of 41946

Prime Factorization of 41952

Now multiplying the highest exponent prime factors to calculate the LCM of 41946 and 41952.

LCM(41946,41952) = 2⁵ × 3¹ × 6991¹ × 19¹ × 23¹
LCM(41946,41952) = 293286432