What is the Least Common Multiple of 80875 and 80884?

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 80875 and 80884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80875 and 80884, than apply into the LCM equation.

GCF(80875,80884) = 1
LCM(80875,80884) = ( 80875 × 80884) / 1
LCM(80875,80884) = 6541493500 / 1
LCM(80875,80884) = 6541493500

Least Common Multiple (LCM) of 80875 and 80884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80875 and 80884. First we will calculate the prime factors of 80875 and 80884.

Prime Factorization of 80875

Prime Factorization of 80884

Now multiplying the highest exponent prime factors to calculate the LCM of 80875 and 80884.

LCM(80875,80884) = 5³ × 647¹ × 2² × 73¹ × 277¹
LCM(80875,80884) = 6541493500