What is the Least Common Multiple of 96543 and 96562?

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 96543 and 96562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96543 and 96562, than apply into the LCM equation.

GCF(96543,96562) = 1
LCM(96543,96562) = ( 96543 × 96562) / 1
LCM(96543,96562) = 9322385166 / 1
LCM(96543,96562) = 9322385166

Least Common Multiple (LCM) of 96543 and 96562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96543 and 96562. First we will calculate the prime factors of 96543 and 96562.

Prime Factorization of 96543

Prime Factorization of 96562

Now multiplying the highest exponent prime factors to calculate the LCM of 96543 and 96562.

LCM(96543,96562) = 3² × 17¹ × 631¹ × 2¹ × 48281¹
LCM(96543,96562) = 9322385166