What is the Least Common Multiple of 51249 and 51258?

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 51249 and 51258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51249 and 51258, than apply into the LCM equation.

GCF(51249,51258) = 3
LCM(51249,51258) = ( 51249 × 51258) / 3
LCM(51249,51258) = 2626921242 / 3
LCM(51249,51258) = 875640414

Least Common Multiple (LCM) of 51249 and 51258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51249 and 51258. First we will calculate the prime factors of 51249 and 51258.

Prime Factorization of 51249

Prime Factorization of 51258

Now multiplying the highest exponent prime factors to calculate the LCM of 51249 and 51258.

LCM(51249,51258) = 3¹ × 11¹ × 1553¹ × 2¹ × 8543¹
LCM(51249,51258) = 875640414