What is the Least Common Multiple of 81468 and 81482?

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 81468 and 81482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81468 and 81482, than apply into the LCM equation.

GCF(81468,81482) = 2
LCM(81468,81482) = ( 81468 × 81482) / 2
LCM(81468,81482) = 6638175576 / 2
LCM(81468,81482) = 3319087788

Least Common Multiple (LCM) of 81468 and 81482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81468 and 81482. First we will calculate the prime factors of 81468 and 81482.

Prime Factorization of 81468

Prime Factorization of 81482

Now multiplying the highest exponent prime factors to calculate the LCM of 81468 and 81482.

LCM(81468,81482) = 2² × 3² × 31¹ × 73¹ × 131¹ × 311¹
LCM(81468,81482) = 3319087788