What is the Least Common Multiple of 80874 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 80874 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 80874 and 80890, than apply into the LCM equation.

GCF(80874,80890) = 2
LCM(80874,80890) = ( 80874 × 80890) / 2
LCM(80874,80890) = 6541897860 / 2
LCM(80874,80890) = 3270948930

Least Common Multiple (LCM) of 80874 and 80890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80874 and 80890. First we will calculate the prime factors of 80874 and 80890.

Prime Factorization of 80874

Prime Factorization of 80890

Now multiplying the highest exponent prime factors to calculate the LCM of 80874 and 80890.

LCM(80874,80890) = 2¹ × 3² × 4493¹ × 5¹ × 8089¹
LCM(80874,80890) = 3270948930