What is the Least Common Multiple of 8850 and 8870?

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 8850 and 8870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8850 and 8870, than apply into the LCM equation.

GCF(8850,8870) = 10
LCM(8850,8870) = ( 8850 × 8870) / 10
LCM(8850,8870) = 78499500 / 10
LCM(8850,8870) = 7849950

Least Common Multiple (LCM) of 8850 and 8870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8850 and 8870. First we will calculate the prime factors of 8850 and 8870.

Prime Factorization of 8850

Prime Factorization of 8870

Now multiplying the highest exponent prime factors to calculate the LCM of 8850 and 8870.

LCM(8850,8870) = 2¹ × 3¹ × 5² × 59¹ × 887¹
LCM(8850,8870) = 7849950