What is the Least Common Multiple of 47352 and 47366?

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 47352 and 47366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47352 and 47366, than apply into the LCM equation.

GCF(47352,47366) = 2
LCM(47352,47366) = ( 47352 × 47366) / 2
LCM(47352,47366) = 2242874832 / 2
LCM(47352,47366) = 1121437416

Least Common Multiple (LCM) of 47352 and 47366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47352 and 47366. First we will calculate the prime factors of 47352 and 47366.

Prime Factorization of 47352

Prime Factorization of 47366

Now multiplying the highest exponent prime factors to calculate the LCM of 47352 and 47366.

LCM(47352,47366) = 2³ × 3¹ × 1973¹ × 11¹ × 2153¹
LCM(47352,47366) = 1121437416