What is the Least Common Multiple of 96005 and 96009?

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 96005 and 96009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96005 and 96009, than apply into the LCM equation.

GCF(96005,96009) = 1
LCM(96005,96009) = ( 96005 × 96009) / 1
LCM(96005,96009) = 9217344045 / 1
LCM(96005,96009) = 9217344045

Least Common Multiple (LCM) of 96005 and 96009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96005 and 96009. First we will calculate the prime factors of 96005 and 96009.

Prime Factorization of 96005

Prime Factorization of 96009

Now multiplying the highest exponent prime factors to calculate the LCM of 96005 and 96009.

LCM(96005,96009) = 5¹ × 7¹ × 13¹ × 211¹ × 3¹ × 32003¹
LCM(96005,96009) = 9217344045