What is the Least Common Multiple of 47596 and 47600?

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 47596 and 47600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47596 and 47600, than apply into the LCM equation.

GCF(47596,47600) = 4
LCM(47596,47600) = ( 47596 × 47600) / 4
LCM(47596,47600) = 2265569600 / 4
LCM(47596,47600) = 566392400

Least Common Multiple (LCM) of 47596 and 47600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47596 and 47600. First we will calculate the prime factors of 47596 and 47600.

Prime Factorization of 47596

Prime Factorization of 47600

Now multiplying the highest exponent prime factors to calculate the LCM of 47596 and 47600.

LCM(47596,47600) = 2⁴ × 73¹ × 163¹ × 5² × 7¹ × 17¹
LCM(47596,47600) = 566392400