What is the Least Common Multiple of 45225 and 45232?

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 45225 and 45232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45225 and 45232, than apply into the LCM equation.

GCF(45225,45232) = 1
LCM(45225,45232) = ( 45225 × 45232) / 1
LCM(45225,45232) = 2045617200 / 1
LCM(45225,45232) = 2045617200

Least Common Multiple (LCM) of 45225 and 45232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45225 and 45232. First we will calculate the prime factors of 45225 and 45232.

Prime Factorization of 45225

Prime Factorization of 45232

Now multiplying the highest exponent prime factors to calculate the LCM of 45225 and 45232.

LCM(45225,45232) = 3³ × 5² × 67¹ × 2⁴ × 11¹ × 257¹
LCM(45225,45232) = 2045617200