What is the Least Common Multiple of 80142 and 80149?

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 80142 and 80149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80142 and 80149, than apply into the LCM equation.

GCF(80142,80149) = 1
LCM(80142,80149) = ( 80142 × 80149) / 1
LCM(80142,80149) = 6423301158 / 1
LCM(80142,80149) = 6423301158

Least Common Multiple (LCM) of 80142 and 80149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80142 and 80149. First we will calculate the prime factors of 80142 and 80149.

Prime Factorization of 80142

Prime Factorization of 80149

Now multiplying the highest exponent prime factors to calculate the LCM of 80142 and 80149.

LCM(80142,80149) = 2¹ × 3¹ × 19² × 37¹ × 80149¹
LCM(80142,80149) = 6423301158