What is the Least Common Multiple of 22485 and 22496?

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 22485 and 22496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22485 and 22496, than apply into the LCM equation.

GCF(22485,22496) = 1
LCM(22485,22496) = ( 22485 × 22496) / 1
LCM(22485,22496) = 505822560 / 1
LCM(22485,22496) = 505822560

Least Common Multiple (LCM) of 22485 and 22496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22485 and 22496. First we will calculate the prime factors of 22485 and 22496.

Prime Factorization of 22485

Prime Factorization of 22496

Now multiplying the highest exponent prime factors to calculate the LCM of 22485 and 22496.

LCM(22485,22496) = 3¹ × 5¹ × 1499¹ × 2⁵ × 19¹ × 37¹
LCM(22485,22496) = 505822560