What is the Least Common Multiple of 27771 and 27786?

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 27771 and 27786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27771 and 27786, than apply into the LCM equation.

GCF(27771,27786) = 3
LCM(27771,27786) = ( 27771 × 27786) / 3
LCM(27771,27786) = 771645006 / 3
LCM(27771,27786) = 257215002

Least Common Multiple (LCM) of 27771 and 27786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27771 and 27786. First we will calculate the prime factors of 27771 and 27786.

Prime Factorization of 27771

Prime Factorization of 27786

Now multiplying the highest exponent prime factors to calculate the LCM of 27771 and 27786.

LCM(27771,27786) = 3¹ × 9257¹ × 2¹ × 11¹ × 421¹
LCM(27771,27786) = 257215002