What is the Least Common Multiple of 8874 and 8888?

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 8874 and 8888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8874 and 8888, than apply into the LCM equation.

GCF(8874,8888) = 2
LCM(8874,8888) = ( 8874 × 8888) / 2
LCM(8874,8888) = 78872112 / 2
LCM(8874,8888) = 39436056

Least Common Multiple (LCM) of 8874 and 8888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8874 and 8888. First we will calculate the prime factors of 8874 and 8888.

Prime Factorization of 8874

Prime Factorization of 8888

Now multiplying the highest exponent prime factors to calculate the LCM of 8874 and 8888.

LCM(8874,8888) = 2³ × 3² × 17¹ × 29¹ × 11¹ × 101¹
LCM(8874,8888) = 39436056