What is the Least Common Multiple of 80568 and 80574?

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 80568 and 80574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80568 and 80574, than apply into the LCM equation.

GCF(80568,80574) = 6
LCM(80568,80574) = ( 80568 × 80574) / 6
LCM(80568,80574) = 6491686032 / 6
LCM(80568,80574) = 1081947672

Least Common Multiple (LCM) of 80568 and 80574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80568 and 80574. First we will calculate the prime factors of 80568 and 80574.

Prime Factorization of 80568

Prime Factorization of 80574

Now multiplying the highest exponent prime factors to calculate the LCM of 80568 and 80574.

LCM(80568,80574) = 2³ × 3³ × 373¹ × 13¹ × 1033¹
LCM(80568,80574) = 1081947672