What is the Least Common Multiple of 74428 and 74439?

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 74428 and 74439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74428 and 74439, than apply into the LCM equation.

GCF(74428,74439) = 1
LCM(74428,74439) = ( 74428 × 74439) / 1
LCM(74428,74439) = 5540345892 / 1
LCM(74428,74439) = 5540345892

Least Common Multiple (LCM) of 74428 and 74439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74428 and 74439. First we will calculate the prime factors of 74428 and 74439.

Prime Factorization of 74428

Prime Factorization of 74439

Now multiplying the highest exponent prime factors to calculate the LCM of 74428 and 74439.

LCM(74428,74439) = 2² × 23¹ × 809¹ × 3⁴ × 919¹
LCM(74428,74439) = 5540345892