What is the Least Common Multiple of 47575 and 47592?

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 47575 and 47592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47575 and 47592, than apply into the LCM equation.

GCF(47575,47592) = 1
LCM(47575,47592) = ( 47575 × 47592) / 1
LCM(47575,47592) = 2264189400 / 1
LCM(47575,47592) = 2264189400

Least Common Multiple (LCM) of 47575 and 47592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47575 and 47592. First we will calculate the prime factors of 47575 and 47592.

Prime Factorization of 47575

Prime Factorization of 47592

Now multiplying the highest exponent prime factors to calculate the LCM of 47575 and 47592.

LCM(47575,47592) = 5² × 11¹ × 173¹ × 2³ × 3² × 661¹
LCM(47575,47592) = 2264189400