What is the Least Common Multiple of 47454 and 47472?

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 47454 and 47472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47454 and 47472, than apply into the LCM equation.

GCF(47454,47472) = 6
LCM(47454,47472) = ( 47454 × 47472) / 6
LCM(47454,47472) = 2252736288 / 6
LCM(47454,47472) = 375456048

Least Common Multiple (LCM) of 47454 and 47472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47454 and 47472. First we will calculate the prime factors of 47454 and 47472.

Prime Factorization of 47454

Prime Factorization of 47472

Now multiplying the highest exponent prime factors to calculate the LCM of 47454 and 47472.

LCM(47454,47472) = 2⁴ × 3¹ × 11¹ × 719¹ × 23¹ × 43¹
LCM(47454,47472) = 375456048