What is the Least Common Multiple of 22463 and 22480?

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 22463 and 22480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22463 and 22480, than apply into the LCM equation.

GCF(22463,22480) = 1
LCM(22463,22480) = ( 22463 × 22480) / 1
LCM(22463,22480) = 504968240 / 1
LCM(22463,22480) = 504968240

Least Common Multiple (LCM) of 22463 and 22480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22463 and 22480. First we will calculate the prime factors of 22463 and 22480.

Prime Factorization of 22463

Prime Factorization of 22480

Now multiplying the highest exponent prime factors to calculate the LCM of 22463 and 22480.

LCM(22463,22480) = 7¹ × 3209¹ × 2⁴ × 5¹ × 281¹
LCM(22463,22480) = 504968240