What is the Least Common Multiple of 74928 and 74934?

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 74928 and 74934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74928 and 74934, than apply into the LCM equation.

GCF(74928,74934) = 6
LCM(74928,74934) = ( 74928 × 74934) / 6
LCM(74928,74934) = 5614654752 / 6
LCM(74928,74934) = 935775792

Least Common Multiple (LCM) of 74928 and 74934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74928 and 74934. First we will calculate the prime factors of 74928 and 74934.

Prime Factorization of 74928

Prime Factorization of 74934

Now multiplying the highest exponent prime factors to calculate the LCM of 74928 and 74934.

LCM(74928,74934) = 2⁴ × 3² × 7¹ × 223¹ × 23¹ × 181¹
LCM(74928,74934) = 935775792