What is the Least Common Multiple of 69225 and 69233?

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 69233 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 69233, than apply into the LCM equation.

GCF(69225,69233) = 1
LCM(69225,69233) = ( 69225 × 69233) / 1
LCM(69225,69233) = 4792654425 / 1
LCM(69225,69233) = 4792654425

Least Common Multiple (LCM) of 69225 and 69233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69225 and 69233. First we will calculate the prime factors of 69225 and 69233.

Prime Factorization of 69225

Prime Factorization of 69233

Now multiplying the highest exponent prime factors to calculate the LCM of 69225 and 69233.

LCM(69225,69233) = 3¹ × 5² × 13¹ × 71¹ × 69233¹
LCM(69225,69233) = 4792654425