What is the Least Common Multiple of 74128 and 74142?

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 74128 and 74142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74128 and 74142, than apply into the LCM equation.

GCF(74128,74142) = 2
LCM(74128,74142) = ( 74128 × 74142) / 2
LCM(74128,74142) = 5495998176 / 2
LCM(74128,74142) = 2747999088

Least Common Multiple (LCM) of 74128 and 74142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74128 and 74142. First we will calculate the prime factors of 74128 and 74142.

Prime Factorization of 74128

Prime Factorization of 74142

Now multiplying the highest exponent prime factors to calculate the LCM of 74128 and 74142.

LCM(74128,74142) = 2⁴ × 41¹ × 113¹ × 3³ × 1373¹
LCM(74128,74142) = 2747999088