What is the Least Common Multiple of 27506 and 27514?

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 27506 and 27514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27506 and 27514, than apply into the LCM equation.

GCF(27506,27514) = 2
LCM(27506,27514) = ( 27506 × 27514) / 2
LCM(27506,27514) = 756800084 / 2
LCM(27506,27514) = 378400042

Least Common Multiple (LCM) of 27506 and 27514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27506 and 27514. First we will calculate the prime factors of 27506 and 27514.

Prime Factorization of 27506

Prime Factorization of 27514

Now multiplying the highest exponent prime factors to calculate the LCM of 27506 and 27514.

LCM(27506,27514) = 2¹ × 17¹ × 809¹ × 13757¹
LCM(27506,27514) = 378400042