What is the Least Common Multiple of 83250 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 83250 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 83250 and 83254, than apply into the LCM equation.

GCF(83250,83254) = 2
LCM(83250,83254) = ( 83250 × 83254) / 2
LCM(83250,83254) = 6930895500 / 2
LCM(83250,83254) = 3465447750

Least Common Multiple (LCM) of 83250 and 83254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83250 and 83254. First we will calculate the prime factors of 83250 and 83254.

Prime Factorization of 83250

Prime Factorization of 83254

Now multiplying the highest exponent prime factors to calculate the LCM of 83250 and 83254.

LCM(83250,83254) = 2¹ × 3² × 5³ × 37¹ × 41627¹
LCM(83250,83254) = 3465447750