What is the Least Common Multiple of 47592 and 47596?

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 47592 and 47596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47592 and 47596, than apply into the LCM equation.

GCF(47592,47596) = 4
LCM(47592,47596) = ( 47592 × 47596) / 4
LCM(47592,47596) = 2265188832 / 4
LCM(47592,47596) = 566297208

Least Common Multiple (LCM) of 47592 and 47596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47592 and 47596. First we will calculate the prime factors of 47592 and 47596.

Prime Factorization of 47592

Prime Factorization of 47596

Now multiplying the highest exponent prime factors to calculate the LCM of 47592 and 47596.

LCM(47592,47596) = 2³ × 3² × 661¹ × 73¹ × 163¹
LCM(47592,47596) = 566297208