What is the Least Common Multiple of 80436 and 80454?

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 80436 and 80454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80436 and 80454, than apply into the LCM equation.

GCF(80436,80454) = 6
LCM(80436,80454) = ( 80436 × 80454) / 6
LCM(80436,80454) = 6471397944 / 6
LCM(80436,80454) = 1078566324

Least Common Multiple (LCM) of 80436 and 80454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80436 and 80454. First we will calculate the prime factors of 80436 and 80454.

Prime Factorization of 80436

Prime Factorization of 80454

Now multiplying the highest exponent prime factors to calculate the LCM of 80436 and 80454.

LCM(80436,80454) = 2² × 3¹ × 6703¹ × 11¹ × 23¹ × 53¹
LCM(80436,80454) = 1078566324