What is the Least Common Multiple of 69225 and 69240?

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 69240 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 69240, than apply into the LCM equation.

GCF(69225,69240) = 15
LCM(69225,69240) = ( 69225 × 69240) / 15
LCM(69225,69240) = 4793139000 / 15
LCM(69225,69240) = 319542600

Least Common Multiple (LCM) of 69225 and 69240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69225 and 69240. First we will calculate the prime factors of 69225 and 69240.

Prime Factorization of 69225

Prime Factorization of 69240

Now multiplying the highest exponent prime factors to calculate the LCM of 69225 and 69240.

LCM(69225,69240) = 3¹ × 5² × 13¹ × 71¹ × 2³ × 577¹
LCM(69225,69240) = 319542600