What is the Least Common Multiple of 95511 and 95526?

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 95511 and 95526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95511 and 95526, than apply into the LCM equation.

GCF(95511,95526) = 3
LCM(95511,95526) = ( 95511 × 95526) / 3
LCM(95511,95526) = 9123783786 / 3
LCM(95511,95526) = 3041261262

Least Common Multiple (LCM) of 95511 and 95526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95511 and 95526. First we will calculate the prime factors of 95511 and 95526.

Prime Factorization of 95511

Prime Factorization of 95526

Now multiplying the highest exponent prime factors to calculate the LCM of 95511 and 95526.

LCM(95511,95526) = 3³ × 13¹ × 31¹ × 79¹ × 2¹ × 29¹ × 61¹
LCM(95511,95526) = 3041261262