What is the Least Common Multiple of 67149 and 67164?

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 67149 and 67164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67149 and 67164, than apply into the LCM equation.

GCF(67149,67164) = 3
LCM(67149,67164) = ( 67149 × 67164) / 3
LCM(67149,67164) = 4509995436 / 3
LCM(67149,67164) = 1503331812

Least Common Multiple (LCM) of 67149 and 67164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67149 and 67164. First we will calculate the prime factors of 67149 and 67164.

Prime Factorization of 67149

Prime Factorization of 67164

Now multiplying the highest exponent prime factors to calculate the LCM of 67149 and 67164.

LCM(67149,67164) = 3⁴ × 829¹ × 2² × 29¹ × 193¹
LCM(67149,67164) = 1503331812