What is the Least Common Multiple of 69225 and 69245?

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 69245 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 69245, than apply into the LCM equation.

GCF(69225,69245) = 5
LCM(69225,69245) = ( 69225 × 69245) / 5
LCM(69225,69245) = 4793485125 / 5
LCM(69225,69245) = 958697025

Least Common Multiple (LCM) of 69225 and 69245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69225 and 69245. First we will calculate the prime factors of 69225 and 69245.

Prime Factorization of 69225

Prime Factorization of 69245

Now multiplying the highest exponent prime factors to calculate the LCM of 69225 and 69245.

LCM(69225,69245) = 3¹ × 5² × 13¹ × 71¹ × 11¹ × 1259¹
LCM(69225,69245) = 958697025