What is the Least Common Multiple of 96495 and 96513?

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 96495 and 96513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96495 and 96513, than apply into the LCM equation.

GCF(96495,96513) = 3
LCM(96495,96513) = ( 96495 × 96513) / 3
LCM(96495,96513) = 9313021935 / 3
LCM(96495,96513) = 3104340645

Least Common Multiple (LCM) of 96495 and 96513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96495 and 96513. First we will calculate the prime factors of 96495 and 96513.

Prime Factorization of 96495

Prime Factorization of 96513

Now multiplying the highest exponent prime factors to calculate the LCM of 96495 and 96513.

LCM(96495,96513) = 3¹ × 5¹ × 7¹ × 919¹ × 53¹ × 607¹
LCM(96495,96513) = 3104340645