What is the Least Common Multiple of 96498 and 96507?

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 96498 and 96507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96498 and 96507, than apply into the LCM equation.

GCF(96498,96507) = 9
LCM(96498,96507) = ( 96498 × 96507) / 9
LCM(96498,96507) = 9312732486 / 9
LCM(96498,96507) = 1034748054

Least Common Multiple (LCM) of 96498 and 96507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96498 and 96507. First we will calculate the prime factors of 96498 and 96507.

Prime Factorization of 96498

Prime Factorization of 96507

Now multiplying the highest exponent prime factors to calculate the LCM of 96498 and 96507.

LCM(96498,96507) = 2¹ × 3³ × 1787¹ × 10723¹
LCM(96498,96507) = 1034748054