What is the Least Common Multiple of 27192 and 27200?

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 27192 and 27200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27192 and 27200, than apply into the LCM equation.

GCF(27192,27200) = 8
LCM(27192,27200) = ( 27192 × 27200) / 8
LCM(27192,27200) = 739622400 / 8
LCM(27192,27200) = 92452800

Least Common Multiple (LCM) of 27192 and 27200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27192 and 27200. First we will calculate the prime factors of 27192 and 27200.

Prime Factorization of 27192

Prime Factorization of 27200

Now multiplying the highest exponent prime factors to calculate the LCM of 27192 and 27200.

LCM(27192,27200) = 2⁶ × 3¹ × 11¹ × 103¹ × 5² × 17¹
LCM(27192,27200) = 92452800