What is the Least Common Multiple of 96525 and 96545?

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 96545 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 96545, than apply into the LCM equation.

GCF(96525,96545) = 5
LCM(96525,96545) = ( 96525 × 96545) / 5
LCM(96525,96545) = 9319006125 / 5
LCM(96525,96545) = 1863801225

Least Common Multiple (LCM) of 96525 and 96545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96525 and 96545. First we will calculate the prime factors of 96525 and 96545.

Prime Factorization of 96525

Prime Factorization of 96545

Now multiplying the highest exponent prime factors to calculate the LCM of 96525 and 96545.

LCM(96525,96545) = 3³ × 5² × 11¹ × 13¹ × 19309¹
LCM(96525,96545) = 1863801225