What is the Least Common Multiple of 41238 and 41257?

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 41238 and 41257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41238 and 41257, than apply into the LCM equation.

GCF(41238,41257) = 1
LCM(41238,41257) = ( 41238 × 41257) / 1
LCM(41238,41257) = 1701356166 / 1
LCM(41238,41257) = 1701356166

Least Common Multiple (LCM) of 41238 and 41257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41238 and 41257. First we will calculate the prime factors of 41238 and 41257.

Prime Factorization of 41238

Prime Factorization of 41257

Now multiplying the highest exponent prime factors to calculate the LCM of 41238 and 41257.

LCM(41238,41257) = 2¹ × 3² × 29¹ × 79¹ × 41257¹
LCM(41238,41257) = 1701356166