What is the Least Common Multiple of 47472 and 47477?

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 47472 and 47477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47472 and 47477, than apply into the LCM equation.

GCF(47472,47477) = 1
LCM(47472,47477) = ( 47472 × 47477) / 1
LCM(47472,47477) = 2253828144 / 1
LCM(47472,47477) = 2253828144

Least Common Multiple (LCM) of 47472 and 47477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47472 and 47477. First we will calculate the prime factors of 47472 and 47477.

Prime Factorization of 47472

Prime Factorization of 47477

Now multiplying the highest exponent prime factors to calculate the LCM of 47472 and 47477.

LCM(47472,47477) = 2⁴ × 3¹ × 23¹ × 43¹ × 197¹ × 241¹
LCM(47472,47477) = 2253828144