What is the Least Common Multiple of 47430 and 47444?

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 47430 and 47444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47430 and 47444, than apply into the LCM equation.

GCF(47430,47444) = 2
LCM(47430,47444) = ( 47430 × 47444) / 2
LCM(47430,47444) = 2250268920 / 2
LCM(47430,47444) = 1125134460

Least Common Multiple (LCM) of 47430 and 47444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47430 and 47444. First we will calculate the prime factors of 47430 and 47444.

Prime Factorization of 47430

Prime Factorization of 47444

Now multiplying the highest exponent prime factors to calculate the LCM of 47430 and 47444.

LCM(47430,47444) = 2² × 3² × 5¹ × 17¹ × 31¹ × 29¹ × 409¹
LCM(47430,47444) = 1125134460