What is the Least Common Multiple of 27238 and 27257?

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 27238 and 27257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27238 and 27257, than apply into the LCM equation.

GCF(27238,27257) = 1
LCM(27238,27257) = ( 27238 × 27257) / 1
LCM(27238,27257) = 742426166 / 1
LCM(27238,27257) = 742426166

Least Common Multiple (LCM) of 27238 and 27257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27238 and 27257. First we will calculate the prime factors of 27238 and 27257.

Prime Factorization of 27238

Prime Factorization of 27257

Now multiplying the highest exponent prime factors to calculate the LCM of 27238 and 27257.

LCM(27238,27257) = 2¹ × 13619¹ × 97¹ × 281¹
LCM(27238,27257) = 742426166