What is the Least Common Multiple of 73140 and 73149?

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 73140 and 73149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73140 and 73149, than apply into the LCM equation.

GCF(73140,73149) = 3
LCM(73140,73149) = ( 73140 × 73149) / 3
LCM(73140,73149) = 5350117860 / 3
LCM(73140,73149) = 1783372620

Least Common Multiple (LCM) of 73140 and 73149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73140 and 73149. First we will calculate the prime factors of 73140 and 73149.

Prime Factorization of 73140

Prime Factorization of 73149

Now multiplying the highest exponent prime factors to calculate the LCM of 73140 and 73149.

LCM(73140,73149) = 2² × 3¹ × 5¹ × 23¹ × 53¹ × 37¹ × 659¹
LCM(73140,73149) = 1783372620