What is the Least Common Multiple of 33390 and 33408?

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 33390 and 33408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33390 and 33408, than apply into the LCM equation.

GCF(33390,33408) = 18
LCM(33390,33408) = ( 33390 × 33408) / 18
LCM(33390,33408) = 1115493120 / 18
LCM(33390,33408) = 61971840

Least Common Multiple (LCM) of 33390 and 33408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33390 and 33408. First we will calculate the prime factors of 33390 and 33408.

Prime Factorization of 33390

Prime Factorization of 33408

Now multiplying the highest exponent prime factors to calculate the LCM of 33390 and 33408.

LCM(33390,33408) = 2⁷ × 3² × 5¹ × 7¹ × 53¹ × 29¹
LCM(33390,33408) = 61971840