What is the Least Common Multiple of 47461 and 47473?

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 47461 and 47473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47461 and 47473, than apply into the LCM equation.

GCF(47461,47473) = 1
LCM(47461,47473) = ( 47461 × 47473) / 1
LCM(47461,47473) = 2253116053 / 1
LCM(47461,47473) = 2253116053

Least Common Multiple (LCM) of 47461 and 47473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47461 and 47473. First we will calculate the prime factors of 47461 and 47473.

Prime Factorization of 47461

Prime Factorization of 47473

Now multiplying the highest exponent prime factors to calculate the LCM of 47461 and 47473.

LCM(47461,47473) = 31¹ × 1531¹ × 29¹ × 1637¹
LCM(47461,47473) = 2253116053