What is the Least Common Multiple of 95265 and 95283?

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 95265 and 95283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95265 and 95283, than apply into the LCM equation.

GCF(95265,95283) = 9
LCM(95265,95283) = ( 95265 × 95283) / 9
LCM(95265,95283) = 9077134995 / 9
LCM(95265,95283) = 1008570555

Least Common Multiple (LCM) of 95265 and 95283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95265 and 95283. First we will calculate the prime factors of 95265 and 95283.

Prime Factorization of 95265

Prime Factorization of 95283

Now multiplying the highest exponent prime factors to calculate the LCM of 95265 and 95283.

LCM(95265,95283) = 3³ × 5¹ × 29¹ × 73¹ × 3529¹
LCM(95265,95283) = 1008570555