What is the Least Common Multiple of 47314 and 47332?

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 47314 and 47332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47314 and 47332, than apply into the LCM equation.

GCF(47314,47332) = 2
LCM(47314,47332) = ( 47314 × 47332) / 2
LCM(47314,47332) = 2239466248 / 2
LCM(47314,47332) = 1119733124

Least Common Multiple (LCM) of 47314 and 47332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47314 and 47332. First we will calculate the prime factors of 47314 and 47332.

Prime Factorization of 47314

Prime Factorization of 47332

Now multiplying the highest exponent prime factors to calculate the LCM of 47314 and 47332.

LCM(47314,47332) = 2² × 41¹ × 577¹ × 11833¹
LCM(47314,47332) = 1119733124