What is the Least Common Multiple of 47320 and 47338?

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 47338 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 47338, than apply into the LCM equation.

GCF(47320,47338) = 2
LCM(47320,47338) = ( 47320 × 47338) / 2
LCM(47320,47338) = 2240034160 / 2
LCM(47320,47338) = 1120017080

Least Common Multiple (LCM) of 47320 and 47338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47320 and 47338. First we will calculate the prime factors of 47320 and 47338.

Prime Factorization of 47320

Prime Factorization of 47338

Now multiplying the highest exponent prime factors to calculate the LCM of 47320 and 47338.

LCM(47320,47338) = 2³ × 5¹ × 7¹ × 13² × 23669¹
LCM(47320,47338) = 1120017080