What is the Least Common Multiple of 27214 and 27228?

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 27214 and 27228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27214 and 27228, than apply into the LCM equation.

GCF(27214,27228) = 2
LCM(27214,27228) = ( 27214 × 27228) / 2
LCM(27214,27228) = 740982792 / 2
LCM(27214,27228) = 370491396

Least Common Multiple (LCM) of 27214 and 27228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27214 and 27228. First we will calculate the prime factors of 27214 and 27228.

Prime Factorization of 27214

Prime Factorization of 27228

Now multiplying the highest exponent prime factors to calculate the LCM of 27214 and 27228.

LCM(27214,27228) = 2² × 11¹ × 1237¹ × 3¹ × 2269¹
LCM(27214,27228) = 370491396