What is the Least Common Multiple of 83236 and 83254?

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 83236 and 83254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83236 and 83254, than apply into the LCM equation.

GCF(83236,83254) = 2
LCM(83236,83254) = ( 83236 × 83254) / 2
LCM(83236,83254) = 6929729944 / 2
LCM(83236,83254) = 3464864972

Least Common Multiple (LCM) of 83236 and 83254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83236 and 83254. First we will calculate the prime factors of 83236 and 83254.

Prime Factorization of 83236

Prime Factorization of 83254

Now multiplying the highest exponent prime factors to calculate the LCM of 83236 and 83254.

LCM(83236,83254) = 2² × 20809¹ × 41627¹
LCM(83236,83254) = 3464864972