What is the Least Common Multiple of 33570 and 33590?

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 33570 and 33590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33570 and 33590, than apply into the LCM equation.

GCF(33570,33590) = 10
LCM(33570,33590) = ( 33570 × 33590) / 10
LCM(33570,33590) = 1127616300 / 10
LCM(33570,33590) = 112761630

Least Common Multiple (LCM) of 33570 and 33590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33570 and 33590. First we will calculate the prime factors of 33570 and 33590.

Prime Factorization of 33570

Prime Factorization of 33590

Now multiplying the highest exponent prime factors to calculate the LCM of 33570 and 33590.

LCM(33570,33590) = 2¹ × 3² × 5¹ × 373¹ × 3359¹
LCM(33570,33590) = 112761630