What is the Least Common Multiple of 22408 and 22412?

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 22408 and 22412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22408 and 22412, than apply into the LCM equation.

GCF(22408,22412) = 4
LCM(22408,22412) = ( 22408 × 22412) / 4
LCM(22408,22412) = 502208096 / 4
LCM(22408,22412) = 125552024

Least Common Multiple (LCM) of 22408 and 22412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22408 and 22412. First we will calculate the prime factors of 22408 and 22412.

Prime Factorization of 22408

Prime Factorization of 22412

Now multiplying the highest exponent prime factors to calculate the LCM of 22408 and 22412.

LCM(22408,22412) = 2³ × 2801¹ × 13¹ × 431¹
LCM(22408,22412) = 125552024