What is the Least Common Multiple of 96514 and 96526?

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 96514 and 96526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96514 and 96526, than apply into the LCM equation.

GCF(96514,96526) = 2
LCM(96514,96526) = ( 96514 × 96526) / 2
LCM(96514,96526) = 9316110364 / 2
LCM(96514,96526) = 4658055182

Least Common Multiple (LCM) of 96514 and 96526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96514 and 96526. First we will calculate the prime factors of 96514 and 96526.

Prime Factorization of 96514

Prime Factorization of 96526

Now multiplying the highest exponent prime factors to calculate the LCM of 96514 and 96526.

LCM(96514,96526) = 2¹ × 11¹ × 41¹ × 107¹ × 17² × 167¹
LCM(96514,96526) = 4658055182