What is the Least Common Multiple of 40140 and 40149?

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 40140 and 40149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40140 and 40149, than apply into the LCM equation.

GCF(40140,40149) = 9
LCM(40140,40149) = ( 40140 × 40149) / 9
LCM(40140,40149) = 1611580860 / 9
LCM(40140,40149) = 179064540

Least Common Multiple (LCM) of 40140 and 40149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40140 and 40149. First we will calculate the prime factors of 40140 and 40149.

Prime Factorization of 40140

Prime Factorization of 40149

Now multiplying the highest exponent prime factors to calculate the LCM of 40140 and 40149.

LCM(40140,40149) = 2² × 3³ × 5¹ × 223¹ × 1487¹
LCM(40140,40149) = 179064540