What is the Least Common Multiple of 72447 and 72453?

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 72447 and 72453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72447 and 72453, than apply into the LCM equation.

GCF(72447,72453) = 3
LCM(72447,72453) = ( 72447 × 72453) / 3
LCM(72447,72453) = 5249002491 / 3
LCM(72447,72453) = 1749667497

Least Common Multiple (LCM) of 72447 and 72453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72447 and 72453. First we will calculate the prime factors of 72447 and 72453.

Prime Factorization of 72447

Prime Factorization of 72453

Now multiplying the highest exponent prime factors to calculate the LCM of 72447 and 72453.

LCM(72447,72453) = 3¹ × 19¹ × 31¹ × 41¹ × 24151¹
LCM(72447,72453) = 1749667497