What is the Least Common Multiple of 22408 and 22414?

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 22414 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 22414, than apply into the LCM equation.

GCF(22408,22414) = 2
LCM(22408,22414) = ( 22408 × 22414) / 2
LCM(22408,22414) = 502252912 / 2
LCM(22408,22414) = 251126456

Least Common Multiple (LCM) of 22408 and 22414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22408 and 22414. First we will calculate the prime factors of 22408 and 22414.

Prime Factorization of 22408

Prime Factorization of 22414

Now multiplying the highest exponent prime factors to calculate the LCM of 22408 and 22414.

LCM(22408,22414) = 2³ × 2801¹ × 7¹ × 1601¹
LCM(22408,22414) = 251126456