What is the Least Common Multiple of 88906 and 88924?

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 88906 and 88924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88906 and 88924, than apply into the LCM equation.

GCF(88906,88924) = 2
LCM(88906,88924) = ( 88906 × 88924) / 2
LCM(88906,88924) = 7905877144 / 2
LCM(88906,88924) = 3952938572

Least Common Multiple (LCM) of 88906 and 88924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88906 and 88924. First we will calculate the prime factors of 88906 and 88924.

Prime Factorization of 88906

Prime Factorization of 88924

Now multiplying the highest exponent prime factors to calculate the LCM of 88906 and 88924.

LCM(88906,88924) = 2² × 44453¹ × 11¹ × 43¹ × 47¹
LCM(88906,88924) = 3952938572