What is the Least Common Multiple of 53946 and 53952?

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 53946 and 53952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53946 and 53952, than apply into the LCM equation.

GCF(53946,53952) = 6
LCM(53946,53952) = ( 53946 × 53952) / 6
LCM(53946,53952) = 2910494592 / 6
LCM(53946,53952) = 485082432

Least Common Multiple (LCM) of 53946 and 53952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53946 and 53952. First we will calculate the prime factors of 53946 and 53952.

Prime Factorization of 53946

Prime Factorization of 53952

Now multiplying the highest exponent prime factors to calculate the LCM of 53946 and 53952.

LCM(53946,53952) = 2⁶ × 3⁶ × 37¹ × 281¹
LCM(53946,53952) = 485082432