What is the Least Common Multiple of 47213 and 47225?

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 47213 and 47225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47213 and 47225, than apply into the LCM equation.

GCF(47213,47225) = 1
LCM(47213,47225) = ( 47213 × 47225) / 1
LCM(47213,47225) = 2229633925 / 1
LCM(47213,47225) = 2229633925

Least Common Multiple (LCM) of 47213 and 47225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47213 and 47225. First we will calculate the prime factors of 47213 and 47225.

Prime Factorization of 47213

Prime Factorization of 47225

Now multiplying the highest exponent prime factors to calculate the LCM of 47213 and 47225.

LCM(47213,47225) = 31¹ × 1523¹ × 5² × 1889¹
LCM(47213,47225) = 2229633925