What is the Least Common Multiple of 66225 and 66231?

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 66225 and 66231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66225 and 66231, than apply into the LCM equation.

GCF(66225,66231) = 3
LCM(66225,66231) = ( 66225 × 66231) / 3
LCM(66225,66231) = 4386147975 / 3
LCM(66225,66231) = 1462049325

Least Common Multiple (LCM) of 66225 and 66231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66225 and 66231. First we will calculate the prime factors of 66225 and 66231.

Prime Factorization of 66225

Prime Factorization of 66231

Now multiplying the highest exponent prime factors to calculate the LCM of 66225 and 66231.

LCM(66225,66231) = 3³ × 5² × 883¹ × 11¹ × 223¹
LCM(66225,66231) = 1462049325