What is the Least Common Multiple of 96532 and 96536?

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 96532 and 96536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96532 and 96536, than apply into the LCM equation.

GCF(96532,96536) = 4
LCM(96532,96536) = ( 96532 × 96536) / 4
LCM(96532,96536) = 9318813152 / 4
LCM(96532,96536) = 2329703288

Least Common Multiple (LCM) of 96532 and 96536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96532 and 96536. First we will calculate the prime factors of 96532 and 96536.

Prime Factorization of 96532

Prime Factorization of 96536

Now multiplying the highest exponent prime factors to calculate the LCM of 96532 and 96536.

LCM(96532,96536) = 2³ × 24133¹ × 11¹ × 1097¹
LCM(96532,96536) = 2329703288