What is the Least Common Multiple of 47704 and 47724?

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 47704 and 47724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47704 and 47724, than apply into the LCM equation.

GCF(47704,47724) = 4
LCM(47704,47724) = ( 47704 × 47724) / 4
LCM(47704,47724) = 2276625696 / 4
LCM(47704,47724) = 569156424

Least Common Multiple (LCM) of 47704 and 47724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47704 and 47724. First we will calculate the prime factors of 47704 and 47724.

Prime Factorization of 47704

Prime Factorization of 47724

Now multiplying the highest exponent prime factors to calculate the LCM of 47704 and 47724.

LCM(47704,47724) = 2³ × 67¹ × 89¹ × 3¹ × 41¹ × 97¹
LCM(47704,47724) = 569156424