What is the Least Common Multiple of 8906 and 8924?

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 8906 and 8924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8906 and 8924, than apply into the LCM equation.

GCF(8906,8924) = 2
LCM(8906,8924) = ( 8906 × 8924) / 2
LCM(8906,8924) = 79477144 / 2
LCM(8906,8924) = 39738572

Least Common Multiple (LCM) of 8906 and 8924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8906 and 8924. First we will calculate the prime factors of 8906 and 8924.

Prime Factorization of 8906

Prime Factorization of 8924

Now multiplying the highest exponent prime factors to calculate the LCM of 8906 and 8924.

LCM(8906,8924) = 2² × 61¹ × 73¹ × 23¹ × 97¹
LCM(8906,8924) = 39738572