What is the Least Common Multiple of 22336 and 22355?

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 22336 and 22355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22336 and 22355, than apply into the LCM equation.

GCF(22336,22355) = 1
LCM(22336,22355) = ( 22336 × 22355) / 1
LCM(22336,22355) = 499321280 / 1
LCM(22336,22355) = 499321280

Least Common Multiple (LCM) of 22336 and 22355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22336 and 22355. First we will calculate the prime factors of 22336 and 22355.

Prime Factorization of 22336

Prime Factorization of 22355

Now multiplying the highest exponent prime factors to calculate the LCM of 22336 and 22355.

LCM(22336,22355) = 2⁶ × 349¹ × 5¹ × 17¹ × 263¹
LCM(22336,22355) = 499321280