What is the Least Common Multiple of 8825 and 8840?

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 8825 and 8840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8825 and 8840, than apply into the LCM equation.

GCF(8825,8840) = 5
LCM(8825,8840) = ( 8825 × 8840) / 5
LCM(8825,8840) = 78013000 / 5
LCM(8825,8840) = 15602600

Least Common Multiple (LCM) of 8825 and 8840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8825 and 8840. First we will calculate the prime factors of 8825 and 8840.

Prime Factorization of 8825

Prime Factorization of 8840

Now multiplying the highest exponent prime factors to calculate the LCM of 8825 and 8840.

LCM(8825,8840) = 5² × 353¹ × 2³ × 13¹ × 17¹
LCM(8825,8840) = 15602600