What is the Least Common Multiple of 22235 and 22248?

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 22235 and 22248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22235 and 22248, than apply into the LCM equation.

GCF(22235,22248) = 1
LCM(22235,22248) = ( 22235 × 22248) / 1
LCM(22235,22248) = 494684280 / 1
LCM(22235,22248) = 494684280

Least Common Multiple (LCM) of 22235 and 22248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22235 and 22248. First we will calculate the prime factors of 22235 and 22248.

Prime Factorization of 22235

Prime Factorization of 22248

Now multiplying the highest exponent prime factors to calculate the LCM of 22235 and 22248.

LCM(22235,22248) = 5¹ × 4447¹ × 2³ × 3³ × 103¹
LCM(22235,22248) = 494684280