What is the Least Common Multiple of 47175 and 47192?

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 47175 and 47192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47175 and 47192, than apply into the LCM equation.

GCF(47175,47192) = 17
LCM(47175,47192) = ( 47175 × 47192) / 17
LCM(47175,47192) = 2226282600 / 17
LCM(47175,47192) = 130957800

Least Common Multiple (LCM) of 47175 and 47192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47175 and 47192. First we will calculate the prime factors of 47175 and 47192.

Prime Factorization of 47175

Prime Factorization of 47192

Now multiplying the highest exponent prime factors to calculate the LCM of 47175 and 47192.

LCM(47175,47192) = 3¹ × 5² × 17¹ × 37¹ × 2³ × 347¹
LCM(47175,47192) = 130957800