What is the Least Common Multiple of 72489 and 72496?

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 72489 and 72496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72489 and 72496, than apply into the LCM equation.

GCF(72489,72496) = 1
LCM(72489,72496) = ( 72489 × 72496) / 1
LCM(72489,72496) = 5255162544 / 1
LCM(72489,72496) = 5255162544

Least Common Multiple (LCM) of 72489 and 72496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72489 and 72496. First we will calculate the prime factors of 72489 and 72496.

Prime Factorization of 72489

Prime Factorization of 72496

Now multiplying the highest exponent prime factors to calculate the LCM of 72489 and 72496.

LCM(72489,72496) = 3¹ × 73¹ × 331¹ × 2⁴ × 23¹ × 197¹
LCM(72489,72496) = 5255162544