What is the Least Common Multiple of 33952 and 33968?

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 33952 and 33968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33952 and 33968, than apply into the LCM equation.

GCF(33952,33968) = 16
LCM(33952,33968) = ( 33952 × 33968) / 16
LCM(33952,33968) = 1153281536 / 16
LCM(33952,33968) = 72080096

Least Common Multiple (LCM) of 33952 and 33968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33952 and 33968. First we will calculate the prime factors of 33952 and 33968.

Prime Factorization of 33952

Prime Factorization of 33968

Now multiplying the highest exponent prime factors to calculate the LCM of 33952 and 33968.

LCM(33952,33968) = 2⁵ × 1061¹ × 11¹ × 193¹
LCM(33952,33968) = 72080096