What is the Least Common Multiple of 13035 and 13040?

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 13040 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 13040, than apply into the LCM equation.

GCF(13035,13040) = 5
LCM(13035,13040) = ( 13035 × 13040) / 5
LCM(13035,13040) = 169976400 / 5
LCM(13035,13040) = 33995280

Least Common Multiple (LCM) of 13035 and 13040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13035 and 13040. First we will calculate the prime factors of 13035 and 13040.

Prime Factorization of 13035

Prime Factorization of 13040

Now multiplying the highest exponent prime factors to calculate the LCM of 13035 and 13040.

LCM(13035,13040) = 3¹ × 5¹ × 11¹ × 79¹ × 2⁴ × 163¹
LCM(13035,13040) = 33995280