What is the Least Common Multiple of 47121 and 47134?

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 47121 and 47134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47121 and 47134, than apply into the LCM equation.

GCF(47121,47134) = 1
LCM(47121,47134) = ( 47121 × 47134) / 1
LCM(47121,47134) = 2221001214 / 1
LCM(47121,47134) = 2221001214

Least Common Multiple (LCM) of 47121 and 47134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47121 and 47134. First we will calculate the prime factors of 47121 and 47134.

Prime Factorization of 47121

Prime Factorization of 47134

Now multiplying the highest exponent prime factors to calculate the LCM of 47121 and 47134.

LCM(47121,47134) = 3¹ × 113¹ × 139¹ × 2¹ × 23567¹
LCM(47121,47134) = 2221001214