What is the Least Common Multiple of 96496 and 96510?

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 96496 and 96510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96496 and 96510, than apply into the LCM equation.

GCF(96496,96510) = 2
LCM(96496,96510) = ( 96496 × 96510) / 2
LCM(96496,96510) = 9312828960 / 2
LCM(96496,96510) = 4656414480

Least Common Multiple (LCM) of 96496 and 96510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96496 and 96510. First we will calculate the prime factors of 96496 and 96510.

Prime Factorization of 96496

Prime Factorization of 96510

Now multiplying the highest exponent prime factors to calculate the LCM of 96496 and 96510.

LCM(96496,96510) = 2⁴ × 37¹ × 163¹ × 3¹ × 5¹ × 3217¹
LCM(96496,96510) = 4656414480