What is the Least Common Multiple of 80160 and 80166?

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 80166 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 80166, than apply into the LCM equation.

GCF(80160,80166) = 6
LCM(80160,80166) = ( 80160 × 80166) / 6
LCM(80160,80166) = 6426106560 / 6
LCM(80160,80166) = 1071017760

Least Common Multiple (LCM) of 80160 and 80166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80160 and 80166. First we will calculate the prime factors of 80160 and 80166.

Prime Factorization of 80160

Prime Factorization of 80166

Now multiplying the highest exponent prime factors to calculate the LCM of 80160 and 80166.

LCM(80160,80166) = 2⁵ × 3¹ × 5¹ × 167¹ × 31¹ × 431¹
LCM(80160,80166) = 1071017760