What is the Least Common Multiple of 74114 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 74114 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 74114 and 74128, than apply into the LCM equation.

GCF(74114,74128) = 2
LCM(74114,74128) = ( 74114 × 74128) / 2
LCM(74114,74128) = 5493922592 / 2
LCM(74114,74128) = 2746961296

Least Common Multiple (LCM) of 74114 and 74128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74114 and 74128. First we will calculate the prime factors of 74114 and 74128.

Prime Factorization of 74114

Prime Factorization of 74128

Now multiplying the highest exponent prime factors to calculate the LCM of 74114 and 74128.

LCM(74114,74128) = 2⁴ × 37057¹ × 41¹ × 113¹
LCM(74114,74128) = 2746961296