What is the Least Common Multiple of 27048 and 27068?

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 27048 and 27068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27048 and 27068, than apply into the LCM equation.

GCF(27048,27068) = 4
LCM(27048,27068) = ( 27048 × 27068) / 4
LCM(27048,27068) = 732135264 / 4
LCM(27048,27068) = 183033816

Least Common Multiple (LCM) of 27048 and 27068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27048 and 27068. First we will calculate the prime factors of 27048 and 27068.

Prime Factorization of 27048

Prime Factorization of 27068

Now multiplying the highest exponent prime factors to calculate the LCM of 27048 and 27068.

LCM(27048,27068) = 2³ × 3¹ × 7² × 23¹ × 67¹ × 101¹
LCM(27048,27068) = 183033816