What is the Least Common Multiple of 47424 and 47440?

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 47440 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 47440, than apply into the LCM equation.

GCF(47424,47440) = 16
LCM(47424,47440) = ( 47424 × 47440) / 16
LCM(47424,47440) = 2249794560 / 16
LCM(47424,47440) = 140612160

Least Common Multiple (LCM) of 47424 and 47440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47424 and 47440. First we will calculate the prime factors of 47424 and 47440.

Prime Factorization of 47424

Prime Factorization of 47440

Now multiplying the highest exponent prime factors to calculate the LCM of 47424 and 47440.

LCM(47424,47440) = 2⁶ × 3¹ × 13¹ × 19¹ × 5¹ × 593¹
LCM(47424,47440) = 140612160