What is the Least Common Multiple of 74504 and 74508?

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 74504 and 74508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74504 and 74508, than apply into the LCM equation.

GCF(74504,74508) = 4
LCM(74504,74508) = ( 74504 × 74508) / 4
LCM(74504,74508) = 5551144032 / 4
LCM(74504,74508) = 1387786008

Least Common Multiple (LCM) of 74504 and 74508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74504 and 74508. First we will calculate the prime factors of 74504 and 74508.

Prime Factorization of 74504

Prime Factorization of 74508

Now multiplying the highest exponent prime factors to calculate the LCM of 74504 and 74508.

LCM(74504,74508) = 2³ × 67¹ × 139¹ × 3¹ × 7¹ × 887¹
LCM(74504,74508) = 1387786008