What is the Least Common Multiple of 80890 and 80908?

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 80890 and 80908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80890 and 80908, than apply into the LCM equation.

GCF(80890,80908) = 2
LCM(80890,80908) = ( 80890 × 80908) / 2
LCM(80890,80908) = 6544648120 / 2
LCM(80890,80908) = 3272324060

Least Common Multiple (LCM) of 80890 and 80908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80890 and 80908. First we will calculate the prime factors of 80890 and 80908.

Prime Factorization of 80890

Prime Factorization of 80908

Now multiplying the highest exponent prime factors to calculate the LCM of 80890 and 80908.

LCM(80890,80908) = 2² × 5¹ × 8089¹ × 113¹ × 179¹
LCM(80890,80908) = 3272324060