What is the Least Common Multiple of 74148 and 74162?

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 74148 and 74162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74148 and 74162, than apply into the LCM equation.

GCF(74148,74162) = 2
LCM(74148,74162) = ( 74148 × 74162) / 2
LCM(74148,74162) = 5498963976 / 2
LCM(74148,74162) = 2749481988

Least Common Multiple (LCM) of 74148 and 74162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74148 and 74162. First we will calculate the prime factors of 74148 and 74162.

Prime Factorization of 74148

Prime Factorization of 74162

Now multiplying the highest exponent prime factors to calculate the LCM of 74148 and 74162.

LCM(74148,74162) = 2² × 3¹ × 37¹ × 167¹ × 11¹ × 3371¹
LCM(74148,74162) = 2749481988