What is the Least Common Multiple of 27170 and 27183?

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 27170 and 27183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27170 and 27183, than apply into the LCM equation.

GCF(27170,27183) = 13
LCM(27170,27183) = ( 27170 × 27183) / 13
LCM(27170,27183) = 738562110 / 13
LCM(27170,27183) = 56812470

Least Common Multiple (LCM) of 27170 and 27183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27170 and 27183. First we will calculate the prime factors of 27170 and 27183.

Prime Factorization of 27170

Prime Factorization of 27183

Now multiplying the highest exponent prime factors to calculate the LCM of 27170 and 27183.

LCM(27170,27183) = 2¹ × 5¹ × 11¹ × 13¹ × 19¹ × 3¹ × 17¹ × 41¹
LCM(27170,27183) = 56812470