What is the Least Common Multiple of 67140 and 67149?

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 67140 and 67149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67140 and 67149, than apply into the LCM equation.

GCF(67140,67149) = 9
LCM(67140,67149) = ( 67140 × 67149) / 9
LCM(67140,67149) = 4508383860 / 9
LCM(67140,67149) = 500931540

Least Common Multiple (LCM) of 67140 and 67149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67140 and 67149. First we will calculate the prime factors of 67140 and 67149.

Prime Factorization of 67140

Prime Factorization of 67149

Now multiplying the highest exponent prime factors to calculate the LCM of 67140 and 67149.

LCM(67140,67149) = 2² × 3⁴ × 5¹ × 373¹ × 829¹
LCM(67140,67149) = 500931540