What is the Least Common Multiple of 80160 and 80176?

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 80160 and 80176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80160 and 80176, than apply into the LCM equation.

GCF(80160,80176) = 16
LCM(80160,80176) = ( 80160 × 80176) / 16
LCM(80160,80176) = 6426908160 / 16
LCM(80160,80176) = 401681760

Least Common Multiple (LCM) of 80160 and 80176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80160 and 80176. First we will calculate the prime factors of 80160 and 80176.

Prime Factorization of 80160

Prime Factorization of 80176

Now multiplying the highest exponent prime factors to calculate the LCM of 80160 and 80176.

LCM(80160,80176) = 2⁵ × 3¹ × 5¹ × 167¹ × 5011¹
LCM(80160,80176) = 401681760