What is the Least Common Multiple of 47400 and 47408?

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 47400 and 47408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47400 and 47408, than apply into the LCM equation.

GCF(47400,47408) = 8
LCM(47400,47408) = ( 47400 × 47408) / 8
LCM(47400,47408) = 2247139200 / 8
LCM(47400,47408) = 280892400

Least Common Multiple (LCM) of 47400 and 47408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47400 and 47408. First we will calculate the prime factors of 47400 and 47408.

Prime Factorization of 47400

Prime Factorization of 47408

Now multiplying the highest exponent prime factors to calculate the LCM of 47400 and 47408.

LCM(47400,47408) = 2⁴ × 3¹ × 5² × 79¹ × 2963¹
LCM(47400,47408) = 280892400