What is the Least Common Multiple of 80574 and 80581?

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 80574 and 80581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80574 and 80581, than apply into the LCM equation.

GCF(80574,80581) = 1
LCM(80574,80581) = ( 80574 × 80581) / 1
LCM(80574,80581) = 6492733494 / 1
LCM(80574,80581) = 6492733494

Least Common Multiple (LCM) of 80574 and 80581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80574 and 80581. First we will calculate the prime factors of 80574 and 80581.

Prime Factorization of 80574

Prime Factorization of 80581

Now multiplying the highest exponent prime factors to calculate the LCM of 80574 and 80581.

LCM(80574,80581) = 2¹ × 3¹ × 13¹ × 1033¹ × 61¹ × 1321¹
LCM(80574,80581) = 6492733494