What is the Least Common Multiple of 51249 and 51263?

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 51263 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 51263, than apply into the LCM equation.

GCF(51249,51263) = 1
LCM(51249,51263) = ( 51249 × 51263) / 1
LCM(51249,51263) = 2627177487 / 1
LCM(51249,51263) = 2627177487

Least Common Multiple (LCM) of 51249 and 51263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51249 and 51263. First we will calculate the prime factors of 51249 and 51263.

Prime Factorization of 51249

Prime Factorization of 51263

Now multiplying the highest exponent prime factors to calculate the LCM of 51249 and 51263.

LCM(51249,51263) = 3¹ × 11¹ × 1553¹ × 51263¹
LCM(51249,51263) = 2627177487