What is the Least Common Multiple of 74019 and 74031?

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 74019 and 74031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74019 and 74031, than apply into the LCM equation.

GCF(74019,74031) = 3
LCM(74019,74031) = ( 74019 × 74031) / 3
LCM(74019,74031) = 5479700589 / 3
LCM(74019,74031) = 1826566863

Least Common Multiple (LCM) of 74019 and 74031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74019 and 74031. First we will calculate the prime factors of 74019 and 74031.

Prime Factorization of 74019

Prime Factorization of 74031

Now multiplying the highest exponent prime factors to calculate the LCM of 74019 and 74031.

LCM(74019,74031) = 3¹ × 11¹ × 2243¹ × 24677¹
LCM(74019,74031) = 1826566863