What is the Least Common Multiple of 41238 and 41247?

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 41247 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 41247, than apply into the LCM equation.

GCF(41238,41247) = 9
LCM(41238,41247) = ( 41238 × 41247) / 9
LCM(41238,41247) = 1700943786 / 9
LCM(41238,41247) = 188993754

Least Common Multiple (LCM) of 41238 and 41247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41238 and 41247. First we will calculate the prime factors of 41238 and 41247.

Prime Factorization of 41238

Prime Factorization of 41247

Now multiplying the highest exponent prime factors to calculate the LCM of 41238 and 41247.

LCM(41238,41247) = 2¹ × 3² × 29¹ × 79¹ × 4583¹
LCM(41238,41247) = 188993754