What is the Least Common Multiple of 96499 and 96505?

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 96499 and 96505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96499 and 96505, than apply into the LCM equation.

GCF(96499,96505) = 1
LCM(96499,96505) = ( 96499 × 96505) / 1
LCM(96499,96505) = 9312635995 / 1
LCM(96499,96505) = 9312635995

Least Common Multiple (LCM) of 96499 and 96505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96499 and 96505. First we will calculate the prime factors of 96499 and 96505.

Prime Factorization of 96499

Prime Factorization of 96505

Now multiplying the highest exponent prime factors to calculate the LCM of 96499 and 96505.

LCM(96499,96505) = 13² × 571¹ × 5¹ × 19301¹
LCM(96499,96505) = 9312635995