What is the Least Common Multiple of 96525 and 96539?

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 96525 and 96539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96525 and 96539, than apply into the LCM equation.

GCF(96525,96539) = 1
LCM(96525,96539) = ( 96525 × 96539) / 1
LCM(96525,96539) = 9318426975 / 1
LCM(96525,96539) = 9318426975

Least Common Multiple (LCM) of 96525 and 96539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96525 and 96539. First we will calculate the prime factors of 96525 and 96539.

Prime Factorization of 96525

Prime Factorization of 96539

Now multiplying the highest exponent prime factors to calculate the LCM of 96525 and 96539.

LCM(96525,96539) = 3³ × 5² × 11¹ × 13¹ × 19¹ × 5081¹
LCM(96525,96539) = 9318426975