What is the Least Common Multiple of 80236 and 80254?

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 80236 and 80254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80236 and 80254, than apply into the LCM equation.

GCF(80236,80254) = 2
LCM(80236,80254) = ( 80236 × 80254) / 2
LCM(80236,80254) = 6439259944 / 2
LCM(80236,80254) = 3219629972

Least Common Multiple (LCM) of 80236 and 80254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80236 and 80254. First we will calculate the prime factors of 80236 and 80254.

Prime Factorization of 80236

Prime Factorization of 80254

Now multiplying the highest exponent prime factors to calculate the LCM of 80236 and 80254.

LCM(80236,80254) = 2² × 13¹ × 1543¹ × 40127¹
LCM(80236,80254) = 3219629972