What is the Least Common Multiple of 51561 and 51579?

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 51561 and 51579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51561 and 51579, than apply into the LCM equation.

GCF(51561,51579) = 9
LCM(51561,51579) = ( 51561 × 51579) / 9
LCM(51561,51579) = 2659464819 / 9
LCM(51561,51579) = 295496091

Least Common Multiple (LCM) of 51561 and 51579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51561 and 51579. First we will calculate the prime factors of 51561 and 51579.

Prime Factorization of 51561

Prime Factorization of 51579

Now multiplying the highest exponent prime factors to calculate the LCM of 51561 and 51579.

LCM(51561,51579) = 3² × 17¹ × 337¹ × 11¹ × 521¹
LCM(51561,51579) = 295496091