What is the Least Common Multiple of 27768 and 27788?

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 27768 and 27788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27768 and 27788, than apply into the LCM equation.

GCF(27768,27788) = 4
LCM(27768,27788) = ( 27768 × 27788) / 4
LCM(27768,27788) = 771617184 / 4
LCM(27768,27788) = 192904296

Least Common Multiple (LCM) of 27768 and 27788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27768 and 27788. First we will calculate the prime factors of 27768 and 27788.

Prime Factorization of 27768

Prime Factorization of 27788

Now multiplying the highest exponent prime factors to calculate the LCM of 27768 and 27788.

LCM(27768,27788) = 2³ × 3¹ × 13¹ × 89¹ × 6947¹
LCM(27768,27788) = 192904296