What is the Least Common Multiple of 95524 and 95544?

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 95524 and 95544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95524 and 95544, than apply into the LCM equation.

GCF(95524,95544) = 4
LCM(95524,95544) = ( 95524 × 95544) / 4
LCM(95524,95544) = 9126745056 / 4
LCM(95524,95544) = 2281686264

Least Common Multiple (LCM) of 95524 and 95544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95524 and 95544. First we will calculate the prime factors of 95524 and 95544.

Prime Factorization of 95524

Prime Factorization of 95544

Now multiplying the highest exponent prime factors to calculate the LCM of 95524 and 95544.

LCM(95524,95544) = 2³ × 11¹ × 13¹ × 167¹ × 3² × 1327¹
LCM(95524,95544) = 2281686264