What is the Least Common Multiple of 22225 and 22236?

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 22236 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 22236, than apply into the LCM equation.

GCF(22225,22236) = 1
LCM(22225,22236) = ( 22225 × 22236) / 1
LCM(22225,22236) = 494195100 / 1
LCM(22225,22236) = 494195100

Least Common Multiple (LCM) of 22225 and 22236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22225 and 22236. First we will calculate the prime factors of 22225 and 22236.

Prime Factorization of 22225

Prime Factorization of 22236

Now multiplying the highest exponent prime factors to calculate the LCM of 22225 and 22236.

LCM(22225,22236) = 5² × 7¹ × 127¹ × 2² × 3¹ × 17¹ × 109¹
LCM(22225,22236) = 494195100