What is the Least Common Multiple of 47820 and 47824?

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 47820 and 47824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47820 and 47824, than apply into the LCM equation.

GCF(47820,47824) = 4
LCM(47820,47824) = ( 47820 × 47824) / 4
LCM(47820,47824) = 2286943680 / 4
LCM(47820,47824) = 571735920

Least Common Multiple (LCM) of 47820 and 47824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47820 and 47824. First we will calculate the prime factors of 47820 and 47824.

Prime Factorization of 47820

Prime Factorization of 47824

Now multiplying the highest exponent prime factors to calculate the LCM of 47820 and 47824.

LCM(47820,47824) = 2⁴ × 3¹ × 5¹ × 797¹ × 7² × 61¹
LCM(47820,47824) = 571735920