What is the Least Common Multiple of 47364 and 47375?

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 47364 and 47375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47364 and 47375, than apply into the LCM equation.

GCF(47364,47375) = 1
LCM(47364,47375) = ( 47364 × 47375) / 1
LCM(47364,47375) = 2243869500 / 1
LCM(47364,47375) = 2243869500

Least Common Multiple (LCM) of 47364 and 47375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47364 and 47375. First we will calculate the prime factors of 47364 and 47375.

Prime Factorization of 47364

Prime Factorization of 47375

Now multiplying the highest exponent prime factors to calculate the LCM of 47364 and 47375.

LCM(47364,47375) = 2² × 3¹ × 3947¹ × 5³ × 379¹
LCM(47364,47375) = 2243869500