What is the Least Common Multiple of 22225 and 22235?

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 22225 and 22235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22225 and 22235, than apply into the LCM equation.

GCF(22225,22235) = 5
LCM(22225,22235) = ( 22225 × 22235) / 5
LCM(22225,22235) = 494172875 / 5
LCM(22225,22235) = 98834575

Least Common Multiple (LCM) of 22225 and 22235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22225 and 22235. First we will calculate the prime factors of 22225 and 22235.

Prime Factorization of 22225

Prime Factorization of 22235

Now multiplying the highest exponent prime factors to calculate the LCM of 22225 and 22235.

LCM(22225,22235) = 5² × 7¹ × 127¹ × 4447¹
LCM(22225,22235) = 98834575