What is the Least Common Multiple of 47445 and 47465?

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 47445 and 47465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47445 and 47465, than apply into the LCM equation.

GCF(47445,47465) = 5
LCM(47445,47465) = ( 47445 × 47465) / 5
LCM(47445,47465) = 2251976925 / 5
LCM(47445,47465) = 450395385

Least Common Multiple (LCM) of 47445 and 47465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47445 and 47465. First we will calculate the prime factors of 47445 and 47465.

Prime Factorization of 47445

Prime Factorization of 47465

Now multiplying the highest exponent prime factors to calculate the LCM of 47445 and 47465.

LCM(47445,47465) = 3¹ × 5¹ × 3163¹ × 11¹ × 863¹
LCM(47445,47465) = 450395385