What is the Least Common Multiple of 95289 and 95303?

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 95289 and 95303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95289 and 95303, than apply into the LCM equation.

GCF(95289,95303) = 1
LCM(95289,95303) = ( 95289 × 95303) / 1
LCM(95289,95303) = 9081327567 / 1
LCM(95289,95303) = 9081327567

Least Common Multiple (LCM) of 95289 and 95303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95289 and 95303. First we will calculate the prime factors of 95289 and 95303.

Prime Factorization of 95289

Prime Factorization of 95303

Now multiplying the highest exponent prime factors to calculate the LCM of 95289 and 95303.

LCM(95289,95303) = 3¹ × 23¹ × 1381¹ × 13¹ × 7331¹
LCM(95289,95303) = 9081327567