What is the Least Common Multiple of 87888 and 87906?

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 87888 and 87906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87888 and 87906, than apply into the LCM equation.

GCF(87888,87906) = 6
LCM(87888,87906) = ( 87888 × 87906) / 6
LCM(87888,87906) = 7725882528 / 6
LCM(87888,87906) = 1287647088

Least Common Multiple (LCM) of 87888 and 87906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87888 and 87906. First we will calculate the prime factors of 87888 and 87906.

Prime Factorization of 87888

Prime Factorization of 87906

Now multiplying the highest exponent prime factors to calculate the LCM of 87888 and 87906.

LCM(87888,87906) = 2⁴ × 3¹ × 1831¹ × 7² × 13¹ × 23¹
LCM(87888,87906) = 1287647088