What is the Least Common Multiple of 47146 and 47162?

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 47146 and 47162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47146 and 47162, than apply into the LCM equation.

GCF(47146,47162) = 2
LCM(47146,47162) = ( 47146 × 47162) / 2
LCM(47146,47162) = 2223499652 / 2
LCM(47146,47162) = 1111749826

Least Common Multiple (LCM) of 47146 and 47162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47146 and 47162. First we will calculate the prime factors of 47146 and 47162.

Prime Factorization of 47146

Prime Factorization of 47162

Now multiplying the highest exponent prime factors to calculate the LCM of 47146 and 47162.

LCM(47146,47162) = 2¹ × 11¹ × 2143¹ × 23581¹
LCM(47146,47162) = 1111749826