What is the Least Common Multiple of 22480 and 22489?

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 22480 and 22489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22480 and 22489, than apply into the LCM equation.

GCF(22480,22489) = 1
LCM(22480,22489) = ( 22480 × 22489) / 1
LCM(22480,22489) = 505552720 / 1
LCM(22480,22489) = 505552720

Least Common Multiple (LCM) of 22480 and 22489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22480 and 22489. First we will calculate the prime factors of 22480 and 22489.

Prime Factorization of 22480

Prime Factorization of 22489

Now multiplying the highest exponent prime factors to calculate the LCM of 22480 and 22489.

LCM(22480,22489) = 2⁴ × 5¹ × 281¹ × 43¹ × 523¹
LCM(22480,22489) = 505552720