What is the Least Common Multiple of 95269 and 95275?

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 95269 and 95275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95269 and 95275, than apply into the LCM equation.

GCF(95269,95275) = 1
LCM(95269,95275) = ( 95269 × 95275) / 1
LCM(95269,95275) = 9076753975 / 1
LCM(95269,95275) = 9076753975

Least Common Multiple (LCM) of 95269 and 95275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95269 and 95275. First we will calculate the prime factors of 95269 and 95275.

Prime Factorization of 95269

Prime Factorization of 95275

Now multiplying the highest exponent prime factors to calculate the LCM of 95269 and 95275.

LCM(95269,95275) = 47¹ × 2027¹ × 5² × 37¹ × 103¹
LCM(95269,95275) = 9076753975