What is the Least Common Multiple of 27200 and 27214?

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 27200 and 27214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27200 and 27214, than apply into the LCM equation.

GCF(27200,27214) = 2
LCM(27200,27214) = ( 27200 × 27214) / 2
LCM(27200,27214) = 740220800 / 2
LCM(27200,27214) = 370110400

Least Common Multiple (LCM) of 27200 and 27214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27200 and 27214. First we will calculate the prime factors of 27200 and 27214.

Prime Factorization of 27200

Prime Factorization of 27214

Now multiplying the highest exponent prime factors to calculate the LCM of 27200 and 27214.

LCM(27200,27214) = 2⁶ × 5² × 17¹ × 11¹ × 1237¹
LCM(27200,27214) = 370110400