What is the Least Common Multiple of 51686 and 51698?

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 51686 and 51698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51686 and 51698, than apply into the LCM equation.

GCF(51686,51698) = 2
LCM(51686,51698) = ( 51686 × 51698) / 2
LCM(51686,51698) = 2672062828 / 2
LCM(51686,51698) = 1336031414

Least Common Multiple (LCM) of 51686 and 51698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51686 and 51698. First we will calculate the prime factors of 51686 and 51698.

Prime Factorization of 51686

Prime Factorization of 51698

Now multiplying the highest exponent prime factors to calculate the LCM of 51686 and 51698.

LCM(51686,51698) = 2¹ × 43¹ × 601¹ × 25849¹
LCM(51686,51698) = 1336031414