What is the Least Common Multiple of 27400 and 27409?

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 27400 and 27409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27400 and 27409, than apply into the LCM equation.

GCF(27400,27409) = 1
LCM(27400,27409) = ( 27400 × 27409) / 1
LCM(27400,27409) = 751006600 / 1
LCM(27400,27409) = 751006600

Least Common Multiple (LCM) of 27400 and 27409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27400 and 27409. First we will calculate the prime factors of 27400 and 27409.

Prime Factorization of 27400

Prime Factorization of 27409

Now multiplying the highest exponent prime factors to calculate the LCM of 27400 and 27409.

LCM(27400,27409) = 2³ × 5² × 137¹ × 27409¹
LCM(27400,27409) = 751006600