What is the Least Common Multiple of 81438 and 81452?

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 81438 and 81452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81438 and 81452, than apply into the LCM equation.

GCF(81438,81452) = 14
LCM(81438,81452) = ( 81438 × 81452) / 14
LCM(81438,81452) = 6633287976 / 14
LCM(81438,81452) = 473806284

Least Common Multiple (LCM) of 81438 and 81452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81438 and 81452. First we will calculate the prime factors of 81438 and 81452.

Prime Factorization of 81438

Prime Factorization of 81452

Now multiplying the highest exponent prime factors to calculate the LCM of 81438 and 81452.

LCM(81438,81452) = 2² × 3¹ × 7² × 277¹ × 2909¹
LCM(81438,81452) = 473806284