What is the Least Common Multiple of 80112 and 80131?

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 80112 and 80131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80112 and 80131, than apply into the LCM equation.

GCF(80112,80131) = 1
LCM(80112,80131) = ( 80112 × 80131) / 1
LCM(80112,80131) = 6419454672 / 1
LCM(80112,80131) = 6419454672

Least Common Multiple (LCM) of 80112 and 80131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80112 and 80131. First we will calculate the prime factors of 80112 and 80131.

Prime Factorization of 80112

Prime Factorization of 80131

Now multiplying the highest exponent prime factors to calculate the LCM of 80112 and 80131.

LCM(80112,80131) = 2⁴ × 3¹ × 1669¹ × 227¹ × 353¹
LCM(80112,80131) = 6419454672