What is the Least Common Multiple of 80878 and 80890?

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 80878 and 80890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80878 and 80890, than apply into the LCM equation.

GCF(80878,80890) = 2
LCM(80878,80890) = ( 80878 × 80890) / 2
LCM(80878,80890) = 6542221420 / 2
LCM(80878,80890) = 3271110710

Least Common Multiple (LCM) of 80878 and 80890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80878 and 80890. First we will calculate the prime factors of 80878 and 80890.

Prime Factorization of 80878

Prime Factorization of 80890

Now multiplying the highest exponent prime factors to calculate the LCM of 80878 and 80890.

LCM(80878,80890) = 2¹ × 7¹ × 53¹ × 109¹ × 5¹ × 8089¹
LCM(80878,80890) = 3271110710