What is the Least Common Multiple of 47448 and 47464?

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 47448 and 47464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47448 and 47464, than apply into the LCM equation.

GCF(47448,47464) = 8
LCM(47448,47464) = ( 47448 × 47464) / 8
LCM(47448,47464) = 2252071872 / 8
LCM(47448,47464) = 281508984

Least Common Multiple (LCM) of 47448 and 47464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47448 and 47464. First we will calculate the prime factors of 47448 and 47464.

Prime Factorization of 47448

Prime Factorization of 47464

Now multiplying the highest exponent prime factors to calculate the LCM of 47448 and 47464.

LCM(47448,47464) = 2³ × 3² × 659¹ × 17¹ × 349¹
LCM(47448,47464) = 281508984