What is the Least Common Multiple of 96522 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 96522 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 96522 and 96526, than apply into the LCM equation.

GCF(96522,96526) = 2
LCM(96522,96526) = ( 96522 × 96526) / 2
LCM(96522,96526) = 9316882572 / 2
LCM(96522,96526) = 4658441286

Least Common Multiple (LCM) of 96522 and 96526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96522 and 96526. First we will calculate the prime factors of 96522 and 96526.

Prime Factorization of 96522

Prime Factorization of 96526

Now multiplying the highest exponent prime factors to calculate the LCM of 96522 and 96526.

LCM(96522,96526) = 2¹ × 3¹ × 16087¹ × 17² × 167¹
LCM(96522,96526) = 4658441286