What is the Least Common Multiple of 74100 and 74114?

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 74100 and 74114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74100 and 74114, than apply into the LCM equation.

GCF(74100,74114) = 2
LCM(74100,74114) = ( 74100 × 74114) / 2
LCM(74100,74114) = 5491847400 / 2
LCM(74100,74114) = 2745923700

Least Common Multiple (LCM) of 74100 and 74114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74100 and 74114. First we will calculate the prime factors of 74100 and 74114.

Prime Factorization of 74100

Prime Factorization of 74114

Now multiplying the highest exponent prime factors to calculate the LCM of 74100 and 74114.

LCM(74100,74114) = 2² × 3¹ × 5² × 13¹ × 19¹ × 37057¹
LCM(74100,74114) = 2745923700