What is the Least Common Multiple of 43952 and 43968?

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 43952 and 43968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43952 and 43968, than apply into the LCM equation.

GCF(43952,43968) = 16
LCM(43952,43968) = ( 43952 × 43968) / 16
LCM(43952,43968) = 1932481536 / 16
LCM(43952,43968) = 120780096

Least Common Multiple (LCM) of 43952 and 43968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43952 and 43968. First we will calculate the prime factors of 43952 and 43968.

Prime Factorization of 43952

Prime Factorization of 43968

Now multiplying the highest exponent prime factors to calculate the LCM of 43952 and 43968.

LCM(43952,43968) = 2⁶ × 41¹ × 67¹ × 3¹ × 229¹
LCM(43952,43968) = 120780096