What is the Least Common Multiple of 30432 and 30440?

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 30432 and 30440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30432 and 30440, than apply into the LCM equation.

GCF(30432,30440) = 8
LCM(30432,30440) = ( 30432 × 30440) / 8
LCM(30432,30440) = 926350080 / 8
LCM(30432,30440) = 115793760

Least Common Multiple (LCM) of 30432 and 30440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30432 and 30440. First we will calculate the prime factors of 30432 and 30440.

Prime Factorization of 30432

Prime Factorization of 30440

Now multiplying the highest exponent prime factors to calculate the LCM of 30432 and 30440.

LCM(30432,30440) = 2⁵ × 3¹ × 317¹ × 5¹ × 761¹
LCM(30432,30440) = 115793760