What is the Least Common Multiple of 96492 and 96509?

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 96492 and 96509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96492 and 96509, than apply into the LCM equation.

GCF(96492,96509) = 17
LCM(96492,96509) = ( 96492 × 96509) / 17
LCM(96492,96509) = 9312346428 / 17
LCM(96492,96509) = 547785084

Least Common Multiple (LCM) of 96492 and 96509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96492 and 96509. First we will calculate the prime factors of 96492 and 96509.

Prime Factorization of 96492

Prime Factorization of 96509

Now multiplying the highest exponent prime factors to calculate the LCM of 96492 and 96509.

LCM(96492,96509) = 2² × 3¹ × 11¹ × 17¹ × 43¹ × 7¹ × 811¹
LCM(96492,96509) = 547785084