What is the Least Common Multiple of 74108 and 74128?

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 74108 and 74128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74108 and 74128, than apply into the LCM equation.

GCF(74108,74128) = 4
LCM(74108,74128) = ( 74108 × 74128) / 4
LCM(74108,74128) = 5493477824 / 4
LCM(74108,74128) = 1373369456

Least Common Multiple (LCM) of 74108 and 74128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74108 and 74128. First we will calculate the prime factors of 74108 and 74128.

Prime Factorization of 74108

Prime Factorization of 74128

Now multiplying the highest exponent prime factors to calculate the LCM of 74108 and 74128.

LCM(74108,74128) = 2⁴ × 97¹ × 191¹ × 41¹ × 113¹
LCM(74108,74128) = 1373369456