What is the Least Common Multiple of 33470 and 33489?

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 33470 and 33489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33470 and 33489, than apply into the LCM equation.

GCF(33470,33489) = 1
LCM(33470,33489) = ( 33470 × 33489) / 1
LCM(33470,33489) = 1120876830 / 1
LCM(33470,33489) = 1120876830

Least Common Multiple (LCM) of 33470 and 33489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33470 and 33489. First we will calculate the prime factors of 33470 and 33489.

Prime Factorization of 33470

Prime Factorization of 33489

Now multiplying the highest exponent prime factors to calculate the LCM of 33470 and 33489.

LCM(33470,33489) = 2¹ × 5¹ × 3347¹ × 3² × 61²
LCM(33470,33489) = 1120876830