What is the Least Common Multiple of 5888 and 5895?

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 5888 and 5895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5888 and 5895, than apply into the LCM equation.

GCF(5888,5895) = 1
LCM(5888,5895) = ( 5888 × 5895) / 1
LCM(5888,5895) = 34709760 / 1
LCM(5888,5895) = 34709760

Least Common Multiple (LCM) of 5888 and 5895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5888 and 5895. First we will calculate the prime factors of 5888 and 5895.

Prime Factorization of 5888

Prime Factorization of 5895

Now multiplying the highest exponent prime factors to calculate the LCM of 5888 and 5895.

LCM(5888,5895) = 2⁸ × 23¹ × 3² × 5¹ × 131¹
LCM(5888,5895) = 34709760