What is the Least Common Multiple of 28414 and 28432?

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 28414 and 28432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28414 and 28432, than apply into the LCM equation.

GCF(28414,28432) = 2
LCM(28414,28432) = ( 28414 × 28432) / 2
LCM(28414,28432) = 807866848 / 2
LCM(28414,28432) = 403933424

Least Common Multiple (LCM) of 28414 and 28432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28414 and 28432. First we will calculate the prime factors of 28414 and 28432.

Prime Factorization of 28414

Prime Factorization of 28432

Now multiplying the highest exponent prime factors to calculate the LCM of 28414 and 28432.

LCM(28414,28432) = 2⁴ × 14207¹ × 1777¹
LCM(28414,28432) = 403933424