What is the Least Common Multiple of 81447 and 81453?

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 81447 and 81453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81447 and 81453, than apply into the LCM equation.

GCF(81447,81453) = 3
LCM(81447,81453) = ( 81447 × 81453) / 3
LCM(81447,81453) = 6634102491 / 3
LCM(81447,81453) = 2211367497

Least Common Multiple (LCM) of 81447 and 81453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81447 and 81453. First we will calculate the prime factors of 81447 and 81453.

Prime Factorization of 81447

Prime Factorization of 81453

Now multiplying the highest exponent prime factors to calculate the LCM of 81447 and 81453.

LCM(81447,81453) = 3¹ × 17¹ × 1597¹ × 19¹ × 1429¹
LCM(81447,81453) = 2211367497