What is the Least Common Multiple of 80132 and 80142?

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 80132 and 80142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80132 and 80142, than apply into the LCM equation.

GCF(80132,80142) = 2
LCM(80132,80142) = ( 80132 × 80142) / 2
LCM(80132,80142) = 6421938744 / 2
LCM(80132,80142) = 3210969372

Least Common Multiple (LCM) of 80132 and 80142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80132 and 80142. First we will calculate the prime factors of 80132 and 80142.

Prime Factorization of 80132

Prime Factorization of 80142

Now multiplying the highest exponent prime factors to calculate the LCM of 80132 and 80142.

LCM(80132,80142) = 2² × 13¹ × 23¹ × 67¹ × 3¹ × 19² × 37¹
LCM(80132,80142) = 3210969372