What is the Least Common Multiple of 87900 and 87905?

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 87900 and 87905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87900 and 87905, than apply into the LCM equation.

GCF(87900,87905) = 5
LCM(87900,87905) = ( 87900 × 87905) / 5
LCM(87900,87905) = 7726849500 / 5
LCM(87900,87905) = 1545369900

Least Common Multiple (LCM) of 87900 and 87905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87900 and 87905. First we will calculate the prime factors of 87900 and 87905.

Prime Factorization of 87900

Prime Factorization of 87905

Now multiplying the highest exponent prime factors to calculate the LCM of 87900 and 87905.

LCM(87900,87905) = 2² × 3¹ × 5² × 293¹ × 17581¹
LCM(87900,87905) = 1545369900