What is the Least Common Multiple of 27888 and 27893?

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 27888 and 27893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27888 and 27893, than apply into the LCM equation.

GCF(27888,27893) = 1
LCM(27888,27893) = ( 27888 × 27893) / 1
LCM(27888,27893) = 777879984 / 1
LCM(27888,27893) = 777879984

Least Common Multiple (LCM) of 27888 and 27893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27888 and 27893. First we will calculate the prime factors of 27888 and 27893.

Prime Factorization of 27888

Prime Factorization of 27893

Now multiplying the highest exponent prime factors to calculate the LCM of 27888 and 27893.

LCM(27888,27893) = 2⁴ × 3¹ × 7¹ × 83¹ × 27893¹
LCM(27888,27893) = 777879984