What is the Least Common Multiple of 15432 and 15440?

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 15432 and 15440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15432 and 15440, than apply into the LCM equation.

GCF(15432,15440) = 8
LCM(15432,15440) = ( 15432 × 15440) / 8
LCM(15432,15440) = 238270080 / 8
LCM(15432,15440) = 29783760

Least Common Multiple (LCM) of 15432 and 15440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15432 and 15440. First we will calculate the prime factors of 15432 and 15440.

Prime Factorization of 15432

Prime Factorization of 15440

Now multiplying the highest exponent prime factors to calculate the LCM of 15432 and 15440.

LCM(15432,15440) = 2⁴ × 3¹ × 643¹ × 5¹ × 193¹
LCM(15432,15440) = 29783760