What is the Least Common Multiple of 13035 and 13044?

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 13035 and 13044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13035 and 13044, than apply into the LCM equation.

GCF(13035,13044) = 3
LCM(13035,13044) = ( 13035 × 13044) / 3
LCM(13035,13044) = 170028540 / 3
LCM(13035,13044) = 56676180

Least Common Multiple (LCM) of 13035 and 13044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13035 and 13044. First we will calculate the prime factors of 13035 and 13044.

Prime Factorization of 13035

Prime Factorization of 13044

Now multiplying the highest exponent prime factors to calculate the LCM of 13035 and 13044.

LCM(13035,13044) = 3¹ × 5¹ × 11¹ × 79¹ × 2² × 1087¹
LCM(13035,13044) = 56676180