What is the Least Common Multiple of 74438 and 74456?

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 74438 and 74456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74438 and 74456, than apply into the LCM equation.

GCF(74438,74456) = 2
LCM(74438,74456) = ( 74438 × 74456) / 2
LCM(74438,74456) = 5542355728 / 2
LCM(74438,74456) = 2771177864

Least Common Multiple (LCM) of 74438 and 74456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74438 and 74456. First we will calculate the prime factors of 74438 and 74456.

Prime Factorization of 74438

Prime Factorization of 74456

Now multiplying the highest exponent prime factors to calculate the LCM of 74438 and 74456.

LCM(74438,74456) = 2³ × 7¹ × 13¹ × 409¹ × 41¹ × 227¹
LCM(74438,74456) = 2771177864