What is the Least Common Multiple of 5400 and 5414?

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 5400 and 5414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5400 and 5414, than apply into the LCM equation.

GCF(5400,5414) = 2
LCM(5400,5414) = ( 5400 × 5414) / 2
LCM(5400,5414) = 29235600 / 2
LCM(5400,5414) = 14617800

Least Common Multiple (LCM) of 5400 and 5414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5400 and 5414. First we will calculate the prime factors of 5400 and 5414.

Prime Factorization of 5400

Prime Factorization of 5414

Now multiplying the highest exponent prime factors to calculate the LCM of 5400 and 5414.

LCM(5400,5414) = 2³ × 3³ × 5² × 2707¹
LCM(5400,5414) = 14617800