What is the Least Common Multiple of 14040 and 14049?

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 14040 and 14049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14040 and 14049, than apply into the LCM equation.

GCF(14040,14049) = 9
LCM(14040,14049) = ( 14040 × 14049) / 9
LCM(14040,14049) = 197247960 / 9
LCM(14040,14049) = 21916440

Least Common Multiple (LCM) of 14040 and 14049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14040 and 14049. First we will calculate the prime factors of 14040 and 14049.

Prime Factorization of 14040

Prime Factorization of 14049

Now multiplying the highest exponent prime factors to calculate the LCM of 14040 and 14049.

LCM(14040,14049) = 2³ × 3³ × 5¹ × 13¹ × 7¹ × 223¹
LCM(14040,14049) = 21916440