What is the Least Common Multiple of 87884 and 87888?

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 87884 and 87888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87884 and 87888, than apply into the LCM equation.

GCF(87884,87888) = 4
LCM(87884,87888) = ( 87884 × 87888) / 4
LCM(87884,87888) = 7723948992 / 4
LCM(87884,87888) = 1930987248

Least Common Multiple (LCM) of 87884 and 87888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87884 and 87888. First we will calculate the prime factors of 87884 and 87888.

Prime Factorization of 87884

Prime Factorization of 87888

Now multiplying the highest exponent prime factors to calculate the LCM of 87884 and 87888.

LCM(87884,87888) = 2⁴ × 127¹ × 173¹ × 3¹ × 1831¹
LCM(87884,87888) = 1930987248