What is the Least Common Multiple of 87867 and 87880?

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 87867 and 87880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87867 and 87880, than apply into the LCM equation.

GCF(87867,87880) = 13
LCM(87867,87880) = ( 87867 × 87880) / 13
LCM(87867,87880) = 7721751960 / 13
LCM(87867,87880) = 593980920

Least Common Multiple (LCM) of 87867 and 87880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87867 and 87880. First we will calculate the prime factors of 87867 and 87880.

Prime Factorization of 87867

Prime Factorization of 87880

Now multiplying the highest exponent prime factors to calculate the LCM of 87867 and 87880.

LCM(87867,87880) = 3² × 13³ × 751¹ × 2³ × 5¹
LCM(87867,87880) = 593980920