What is the Least Common Multiple of 51238 and 51257?

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 51238 and 51257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51238 and 51257, than apply into the LCM equation.

GCF(51238,51257) = 1
LCM(51238,51257) = ( 51238 × 51257) / 1
LCM(51238,51257) = 2626306166 / 1
LCM(51238,51257) = 2626306166

Least Common Multiple (LCM) of 51238 and 51257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51238 and 51257. First we will calculate the prime factors of 51238 and 51257.

Prime Factorization of 51238

Prime Factorization of 51257

Now multiplying the highest exponent prime factors to calculate the LCM of 51238 and 51257.

LCM(51238,51257) = 2¹ × 11¹ × 17¹ × 137¹ × 51257¹
LCM(51238,51257) = 2626306166