What is the Least Common Multiple of 47440 and 47452?

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 47440 and 47452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47440 and 47452, than apply into the LCM equation.

GCF(47440,47452) = 4
LCM(47440,47452) = ( 47440 × 47452) / 4
LCM(47440,47452) = 2251122880 / 4
LCM(47440,47452) = 562780720

Least Common Multiple (LCM) of 47440 and 47452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47440 and 47452. First we will calculate the prime factors of 47440 and 47452.

Prime Factorization of 47440

Prime Factorization of 47452

Now multiplying the highest exponent prime factors to calculate the LCM of 47440 and 47452.

LCM(47440,47452) = 2⁴ × 5¹ × 593¹ × 11863¹
LCM(47440,47452) = 562780720