What is the Least Common Multiple of 33645 and 33654?

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 33645 and 33654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33645 and 33654, than apply into the LCM equation.

GCF(33645,33654) = 3
LCM(33645,33654) = ( 33645 × 33654) / 3
LCM(33645,33654) = 1132288830 / 3
LCM(33645,33654) = 377429610

Least Common Multiple (LCM) of 33645 and 33654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33645 and 33654. First we will calculate the prime factors of 33645 and 33654.

Prime Factorization of 33645

Prime Factorization of 33654

Now multiplying the highest exponent prime factors to calculate the LCM of 33645 and 33654.

LCM(33645,33654) = 3¹ × 5¹ × 2243¹ × 2¹ × 71¹ × 79¹
LCM(33645,33654) = 377429610