What is the Least Common Multiple of 27882 and 27897?

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 27882 and 27897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27882 and 27897, than apply into the LCM equation.

GCF(27882,27897) = 3
LCM(27882,27897) = ( 27882 × 27897) / 3
LCM(27882,27897) = 777824154 / 3
LCM(27882,27897) = 259274718

Least Common Multiple (LCM) of 27882 and 27897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27882 and 27897. First we will calculate the prime factors of 27882 and 27897.

Prime Factorization of 27882

Prime Factorization of 27897

Now multiplying the highest exponent prime factors to calculate the LCM of 27882 and 27897.

LCM(27882,27897) = 2¹ × 3² × 1549¹ × 17¹ × 547¹
LCM(27882,27897) = 259274718