What is the Least Common Multiple of 74854 and 74871?

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 74871 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 74871, than apply into the LCM equation.

GCF(74854,74871) = 1
LCM(74854,74871) = ( 74854 × 74871) / 1
LCM(74854,74871) = 5604393834 / 1
LCM(74854,74871) = 5604393834

Least Common Multiple (LCM) of 74854 and 74871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74854 and 74871. First we will calculate the prime factors of 74854 and 74871.

Prime Factorization of 74854

Prime Factorization of 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 74854 and 74871.

LCM(74854,74871) = 2¹ × 13¹ × 2879¹ × 3³ × 47¹ × 59¹
LCM(74854,74871) = 5604393834