What is the Least Common Multiple of 51123 and 51143?

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 51123 and 51143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51123 and 51143, than apply into the LCM equation.

GCF(51123,51143) = 1
LCM(51123,51143) = ( 51123 × 51143) / 1
LCM(51123,51143) = 2614583589 / 1
LCM(51123,51143) = 2614583589

Least Common Multiple (LCM) of 51123 and 51143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51123 and 51143. First we will calculate the prime factors of 51123 and 51143.

Prime Factorization of 51123

Prime Factorization of 51143

Now multiplying the highest exponent prime factors to calculate the LCM of 51123 and 51143.

LCM(51123,51143) = 3¹ × 17041¹ × 199¹ × 257¹
LCM(51123,51143) = 2614583589