What is the Least Common Multiple of 33609 and 33620?

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 33609 and 33620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33609 and 33620, than apply into the LCM equation.

GCF(33609,33620) = 1
LCM(33609,33620) = ( 33609 × 33620) / 1
LCM(33609,33620) = 1129934580 / 1
LCM(33609,33620) = 1129934580

Least Common Multiple (LCM) of 33609 and 33620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33609 and 33620. First we will calculate the prime factors of 33609 and 33620.

Prime Factorization of 33609

Prime Factorization of 33620

Now multiplying the highest exponent prime factors to calculate the LCM of 33609 and 33620.

LCM(33609,33620) = 3¹ × 17¹ × 659¹ × 2² × 5¹ × 41²
LCM(33609,33620) = 1129934580