What is the Least Common Multiple of 95526 and 95543?

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 95526 and 95543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95526 and 95543, than apply into the LCM equation.

GCF(95526,95543) = 1
LCM(95526,95543) = ( 95526 × 95543) / 1
LCM(95526,95543) = 9126840618 / 1
LCM(95526,95543) = 9126840618

Least Common Multiple (LCM) of 95526 and 95543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95526 and 95543. First we will calculate the prime factors of 95526 and 95543.

Prime Factorization of 95526

Prime Factorization of 95543

Now multiplying the highest exponent prime factors to calculate the LCM of 95526 and 95543.

LCM(95526,95543) = 2¹ × 3³ × 29¹ × 61¹ × 7¹ × 13649¹
LCM(95526,95543) = 9126840618