What is the Least Common Multiple of 80145 and 80150?

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 80145 and 80150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80145 and 80150, than apply into the LCM equation.

GCF(80145,80150) = 5
LCM(80145,80150) = ( 80145 × 80150) / 5
LCM(80145,80150) = 6423621750 / 5
LCM(80145,80150) = 1284724350

Least Common Multiple (LCM) of 80145 and 80150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80145 and 80150. First we will calculate the prime factors of 80145 and 80150.

Prime Factorization of 80145

Prime Factorization of 80150

Now multiplying the highest exponent prime factors to calculate the LCM of 80145 and 80150.

LCM(80145,80150) = 3² × 5² × 13¹ × 137¹ × 2¹ × 7¹ × 229¹
LCM(80145,80150) = 1284724350