What is the Least Common Multiple of 73149 and 73164?

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 73149 and 73164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73149 and 73164, than apply into the LCM equation.

GCF(73149,73164) = 3
LCM(73149,73164) = ( 73149 × 73164) / 3
LCM(73149,73164) = 5351873436 / 3
LCM(73149,73164) = 1783957812

Least Common Multiple (LCM) of 73149 and 73164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73149 and 73164. First we will calculate the prime factors of 73149 and 73164.

Prime Factorization of 73149

Prime Factorization of 73164

Now multiplying the highest exponent prime factors to calculate the LCM of 73149 and 73164.

LCM(73149,73164) = 3¹ × 37¹ × 659¹ × 2² × 7¹ × 13¹ × 67¹
LCM(73149,73164) = 1783957812