What is the Least Common Multiple of 95259 and 95269?

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 95259 and 95269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95259 and 95269, than apply into the LCM equation.

GCF(95259,95269) = 1
LCM(95259,95269) = ( 95259 × 95269) / 1
LCM(95259,95269) = 9075229671 / 1
LCM(95259,95269) = 9075229671

Least Common Multiple (LCM) of 95259 and 95269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95259 and 95269. First we will calculate the prime factors of 95259 and 95269.

Prime Factorization of 95259

Prime Factorization of 95269

Now multiplying the highest exponent prime factors to calculate the LCM of 95259 and 95269.

LCM(95259,95269) = 3¹ × 113¹ × 281¹ × 47¹ × 2027¹
LCM(95259,95269) = 9075229671