What is the Least Common Multiple of 75229 and 75243?

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 75229 and 75243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75229 and 75243, than apply into the LCM equation.

GCF(75229,75243) = 7
LCM(75229,75243) = ( 75229 × 75243) / 7
LCM(75229,75243) = 5660455647 / 7
LCM(75229,75243) = 808636521

Least Common Multiple (LCM) of 75229 and 75243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75229 and 75243. First we will calculate the prime factors of 75229 and 75243.

Prime Factorization of 75229

Prime Factorization of 75243

Now multiplying the highest exponent prime factors to calculate the LCM of 75229 and 75243.

LCM(75229,75243) = 7¹ × 11¹ × 977¹ × 3¹ × 3583¹
LCM(75229,75243) = 808636521