What is the Least Common Multiple of 69225 and 69231?

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 69225 and 69231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69225 and 69231, than apply into the LCM equation.

GCF(69225,69231) = 3
LCM(69225,69231) = ( 69225 × 69231) / 3
LCM(69225,69231) = 4792515975 / 3
LCM(69225,69231) = 1597505325

Least Common Multiple (LCM) of 69225 and 69231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69225 and 69231. First we will calculate the prime factors of 69225 and 69231.

Prime Factorization of 69225

Prime Factorization of 69231

Now multiplying the highest exponent prime factors to calculate the LCM of 69225 and 69231.

LCM(69225,69231) = 3¹ × 5² × 13¹ × 71¹ × 47¹ × 491¹
LCM(69225,69231) = 1597505325