What is the Least Common Multiple of 27400 and 27406?

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 27406 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 27406, than apply into the LCM equation.

GCF(27400,27406) = 2
LCM(27400,27406) = ( 27400 × 27406) / 2
LCM(27400,27406) = 750924400 / 2
LCM(27400,27406) = 375462200

Least Common Multiple (LCM) of 27400 and 27406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27400 and 27406. First we will calculate the prime factors of 27400 and 27406.

Prime Factorization of 27400

Prime Factorization of 27406

Now multiplying the highest exponent prime factors to calculate the LCM of 27400 and 27406.

LCM(27400,27406) = 2³ × 5² × 137¹ × 71¹ × 193¹
LCM(27400,27406) = 375462200