What is the Least Common Multiple of 51710 and 51719?

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 51710 and 51719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51710 and 51719, than apply into the LCM equation.

GCF(51710,51719) = 1
LCM(51710,51719) = ( 51710 × 51719) / 1
LCM(51710,51719) = 2674389490 / 1
LCM(51710,51719) = 2674389490

Least Common Multiple (LCM) of 51710 and 51719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51710 and 51719. First we will calculate the prime factors of 51710 and 51719.

Prime Factorization of 51710

Prime Factorization of 51719

Now multiplying the highest exponent prime factors to calculate the LCM of 51710 and 51719.

LCM(51710,51719) = 2¹ × 5¹ × 5171¹ × 51719¹
LCM(51710,51719) = 2674389490