What is the Least Common Multiple of 27414 and 27424?

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 27414 and 27424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27414 and 27424, than apply into the LCM equation.

GCF(27414,27424) = 2
LCM(27414,27424) = ( 27414 × 27424) / 2
LCM(27414,27424) = 751801536 / 2
LCM(27414,27424) = 375900768

Least Common Multiple (LCM) of 27414 and 27424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27414 and 27424. First we will calculate the prime factors of 27414 and 27424.

Prime Factorization of 27414

Prime Factorization of 27424

Now multiplying the highest exponent prime factors to calculate the LCM of 27414 and 27424.

LCM(27414,27424) = 2⁵ × 3² × 1523¹ × 857¹
LCM(27414,27424) = 375900768