What is the Least Common Multiple of 96510 and 96514?

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 96510 and 96514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96510 and 96514, than apply into the LCM equation.

GCF(96510,96514) = 2
LCM(96510,96514) = ( 96510 × 96514) / 2
LCM(96510,96514) = 9314566140 / 2
LCM(96510,96514) = 4657283070

Least Common Multiple (LCM) of 96510 and 96514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96510 and 96514. First we will calculate the prime factors of 96510 and 96514.

Prime Factorization of 96510

Prime Factorization of 96514

Now multiplying the highest exponent prime factors to calculate the LCM of 96510 and 96514.

LCM(96510,96514) = 2¹ × 3¹ × 5¹ × 3217¹ × 11¹ × 41¹ × 107¹
LCM(96510,96514) = 4657283070