What is the Least Common Multiple of 74854 and 74859?

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 74854 and 74859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74854 and 74859, than apply into the LCM equation.

GCF(74854,74859) = 1
LCM(74854,74859) = ( 74854 × 74859) / 1
LCM(74854,74859) = 5603495586 / 1
LCM(74854,74859) = 5603495586

Least Common Multiple (LCM) of 74854 and 74859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74854 and 74859. First we will calculate the prime factors of 74854 and 74859.

Prime Factorization of 74854

Prime Factorization of 74859

Now multiplying the highest exponent prime factors to calculate the LCM of 74854 and 74859.

LCM(74854,74859) = 2¹ × 13¹ × 2879¹ × 3¹ × 24953¹
LCM(74854,74859) = 5603495586