What is the Least Common Multiple of 47320 and 47340?

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 47320 and 47340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47320 and 47340, than apply into the LCM equation.

GCF(47320,47340) = 20
LCM(47320,47340) = ( 47320 × 47340) / 20
LCM(47320,47340) = 2240128800 / 20
LCM(47320,47340) = 112006440

Least Common Multiple (LCM) of 47320 and 47340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47320 and 47340. First we will calculate the prime factors of 47320 and 47340.

Prime Factorization of 47320

Prime Factorization of 47340

Now multiplying the highest exponent prime factors to calculate the LCM of 47320 and 47340.

LCM(47320,47340) = 2³ × 5¹ × 7¹ × 13² × 3² × 263¹
LCM(47320,47340) = 112006440