What is the Least Common Multiple of 8825 and 8834?

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 8834 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 8834, than apply into the LCM equation.

GCF(8825,8834) = 1
LCM(8825,8834) = ( 8825 × 8834) / 1
LCM(8825,8834) = 77960050 / 1
LCM(8825,8834) = 77960050

Least Common Multiple (LCM) of 8825 and 8834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8825 and 8834. First we will calculate the prime factors of 8825 and 8834.

Prime Factorization of 8825

Prime Factorization of 8834

Now multiplying the highest exponent prime factors to calculate the LCM of 8825 and 8834.

LCM(8825,8834) = 5² × 353¹ × 2¹ × 7¹ × 631¹
LCM(8825,8834) = 77960050