What is the Least Common Multiple of 33990 and 34005?

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 33990 and 34005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33990 and 34005, than apply into the LCM equation.

GCF(33990,34005) = 15
LCM(33990,34005) = ( 33990 × 34005) / 15
LCM(33990,34005) = 1155829950 / 15
LCM(33990,34005) = 77055330

Least Common Multiple (LCM) of 33990 and 34005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33990 and 34005. First we will calculate the prime factors of 33990 and 34005.

Prime Factorization of 33990

Prime Factorization of 34005

Now multiplying the highest exponent prime factors to calculate the LCM of 33990 and 34005.

LCM(33990,34005) = 2¹ × 3¹ × 5¹ × 11¹ × 103¹ × 2267¹
LCM(33990,34005) = 77055330