What is the Least Common Multiple of 87750 and 87755?

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 87750 and 87755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87750 and 87755, than apply into the LCM equation.

GCF(87750,87755) = 5
LCM(87750,87755) = ( 87750 × 87755) / 5
LCM(87750,87755) = 7700501250 / 5
LCM(87750,87755) = 1540100250

Least Common Multiple (LCM) of 87750 and 87755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87750 and 87755. First we will calculate the prime factors of 87750 and 87755.

Prime Factorization of 87750

Prime Factorization of 87755

Now multiplying the highest exponent prime factors to calculate the LCM of 87750 and 87755.

LCM(87750,87755) = 2¹ × 3³ × 5³ × 13¹ × 17551¹
LCM(87750,87755) = 1540100250