What is the Least Common Multiple of 27660 and 27669?

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 27660 and 27669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27660 and 27669, than apply into the LCM equation.

GCF(27660,27669) = 3
LCM(27660,27669) = ( 27660 × 27669) / 3
LCM(27660,27669) = 765324540 / 3
LCM(27660,27669) = 255108180

Least Common Multiple (LCM) of 27660 and 27669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27660 and 27669. First we will calculate the prime factors of 27660 and 27669.

Prime Factorization of 27660

Prime Factorization of 27669

Now multiplying the highest exponent prime factors to calculate the LCM of 27660 and 27669.

LCM(27660,27669) = 2² × 3¹ × 5¹ × 461¹ × 23¹ × 401¹
LCM(27660,27669) = 255108180