What is the Least Common Multiple of 83451 and 83466?

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 83451 and 83466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83451 and 83466, than apply into the LCM equation.

GCF(83451,83466) = 3
LCM(83451,83466) = ( 83451 × 83466) / 3
LCM(83451,83466) = 6965321166 / 3
LCM(83451,83466) = 2321773722

Least Common Multiple (LCM) of 83451 and 83466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83451 and 83466. First we will calculate the prime factors of 83451 and 83466.

Prime Factorization of 83451

Prime Factorization of 83466

Now multiplying the highest exponent prime factors to calculate the LCM of 83451 and 83466.

LCM(83451,83466) = 3² × 27817¹ × 2¹ × 4637¹
LCM(83451,83466) = 2321773722