What is the Least Common Multiple of 75249 and 75257?

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 75249 and 75257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75249 and 75257, than apply into the LCM equation.

GCF(75249,75257) = 1
LCM(75249,75257) = ( 75249 × 75257) / 1
LCM(75249,75257) = 5663013993 / 1
LCM(75249,75257) = 5663013993

Least Common Multiple (LCM) of 75249 and 75257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75249 and 75257. First we will calculate the prime factors of 75249 and 75257.

Prime Factorization of 75249

Prime Factorization of 75257

Now multiplying the highest exponent prime factors to calculate the LCM of 75249 and 75257.

LCM(75249,75257) = 3⁴ × 929¹ × 7¹ × 13¹ × 827¹
LCM(75249,75257) = 5663013993