What is the Least Common Multiple of 51544 and 51559?

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 51544 and 51559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51544 and 51559, than apply into the LCM equation.

GCF(51544,51559) = 1
LCM(51544,51559) = ( 51544 × 51559) / 1
LCM(51544,51559) = 2657557096 / 1
LCM(51544,51559) = 2657557096

Least Common Multiple (LCM) of 51544 and 51559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51544 and 51559. First we will calculate the prime factors of 51544 and 51559.

Prime Factorization of 51544

Prime Factorization of 51559

Now multiplying the highest exponent prime factors to calculate the LCM of 51544 and 51559.

LCM(51544,51559) = 2³ × 17¹ × 379¹ × 47¹ × 1097¹
LCM(51544,51559) = 2657557096