What is the Least Common Multiple of 8814 and 8825?

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 8814 and 8825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8814 and 8825, than apply into the LCM equation.

GCF(8814,8825) = 1
LCM(8814,8825) = ( 8814 × 8825) / 1
LCM(8814,8825) = 77783550 / 1
LCM(8814,8825) = 77783550

Least Common Multiple (LCM) of 8814 and 8825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8814 and 8825. First we will calculate the prime factors of 8814 and 8825.

Prime Factorization of 8814

Prime Factorization of 8825

Now multiplying the highest exponent prime factors to calculate the LCM of 8814 and 8825.

LCM(8814,8825) = 2¹ × 3¹ × 13¹ × 113¹ × 5² × 353¹
LCM(8814,8825) = 77783550