What is the Least Common Multiple of 47424 and 47432?

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 47424 and 47432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47424 and 47432, than apply into the LCM equation.

GCF(47424,47432) = 8
LCM(47424,47432) = ( 47424 × 47432) / 8
LCM(47424,47432) = 2249415168 / 8
LCM(47424,47432) = 281176896

Least Common Multiple (LCM) of 47424 and 47432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47424 and 47432. First we will calculate the prime factors of 47424 and 47432.

Prime Factorization of 47424

Prime Factorization of 47432

Now multiplying the highest exponent prime factors to calculate the LCM of 47424 and 47432.

LCM(47424,47432) = 2⁶ × 3¹ × 13¹ × 19¹ × 7² × 11²
LCM(47424,47432) = 281176896