What is the Least Common Multiple of 80145 and 80160?

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 80160 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 80160, than apply into the LCM equation.

GCF(80145,80160) = 15
LCM(80145,80160) = ( 80145 × 80160) / 15
LCM(80145,80160) = 6424423200 / 15
LCM(80145,80160) = 428294880

Least Common Multiple (LCM) of 80145 and 80160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80145 and 80160. First we will calculate the prime factors of 80145 and 80160.

Prime Factorization of 80145

Prime Factorization of 80160

Now multiplying the highest exponent prime factors to calculate the LCM of 80145 and 80160.

LCM(80145,80160) = 3² × 5¹ × 13¹ × 137¹ × 2⁵ × 167¹
LCM(80145,80160) = 428294880