What is the Least Common Multiple of 75243 and 75249?

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 75243 and 75249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75243 and 75249, than apply into the LCM equation.

GCF(75243,75249) = 3
LCM(75243,75249) = ( 75243 × 75249) / 3
LCM(75243,75249) = 5661960507 / 3
LCM(75243,75249) = 1887320169

Least Common Multiple (LCM) of 75243 and 75249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75243 and 75249. First we will calculate the prime factors of 75243 and 75249.

Prime Factorization of 75243

Prime Factorization of 75249

Now multiplying the highest exponent prime factors to calculate the LCM of 75243 and 75249.

LCM(75243,75249) = 3⁴ × 7¹ × 3583¹ × 929¹
LCM(75243,75249) = 1887320169