What is the Least Common Multiple of 51558 and 51566?

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 51558 and 51566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51558 and 51566, than apply into the LCM equation.

GCF(51558,51566) = 2
LCM(51558,51566) = ( 51558 × 51566) / 2
LCM(51558,51566) = 2658639828 / 2
LCM(51558,51566) = 1329319914

Least Common Multiple (LCM) of 51558 and 51566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51558 and 51566. First we will calculate the prime factors of 51558 and 51566.

Prime Factorization of 51558

Prime Factorization of 51566

Now multiplying the highest exponent prime factors to calculate the LCM of 51558 and 51566.

LCM(51558,51566) = 2¹ × 3¹ × 13¹ × 661¹ × 19¹ × 23¹ × 59¹
LCM(51558,51566) = 1329319914