What is the Least Common Multiple of 11400 and 11414?

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 11400 and 11414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11400 and 11414, than apply into the LCM equation.

GCF(11400,11414) = 2
LCM(11400,11414) = ( 11400 × 11414) / 2
LCM(11400,11414) = 130119600 / 2
LCM(11400,11414) = 65059800

Least Common Multiple (LCM) of 11400 and 11414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11400 and 11414. First we will calculate the prime factors of 11400 and 11414.

Prime Factorization of 11400

Prime Factorization of 11414

Now multiplying the highest exponent prime factors to calculate the LCM of 11400 and 11414.

LCM(11400,11414) = 2³ × 3¹ × 5² × 19¹ × 13¹ × 439¹
LCM(11400,11414) = 65059800