What is the Least Common Multiple of 27200 and 27209?

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 27209 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 27209, than apply into the LCM equation.

GCF(27200,27209) = 1
LCM(27200,27209) = ( 27200 × 27209) / 1
LCM(27200,27209) = 740084800 / 1
LCM(27200,27209) = 740084800

Least Common Multiple (LCM) of 27200 and 27209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27200 and 27209. First we will calculate the prime factors of 27200 and 27209.

Prime Factorization of 27200

Prime Factorization of 27209

Now multiplying the highest exponent prime factors to calculate the LCM of 27200 and 27209.

LCM(27200,27209) = 2⁶ × 5² × 17¹ × 7¹ × 13² × 23¹
LCM(27200,27209) = 740084800