What is the Least Common Multiple of 65704 and 65722?

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 65704 and 65722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65704 and 65722, than apply into the LCM equation.

GCF(65704,65722) = 2
LCM(65704,65722) = ( 65704 × 65722) / 2
LCM(65704,65722) = 4318198288 / 2
LCM(65704,65722) = 2159099144

Least Common Multiple (LCM) of 65704 and 65722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65704 and 65722. First we will calculate the prime factors of 65704 and 65722.

Prime Factorization of 65704

Prime Factorization of 65722

Now multiplying the highest exponent prime factors to calculate the LCM of 65704 and 65722.

LCM(65704,65722) = 2³ × 43¹ × 191¹ × 17¹ × 1933¹
LCM(65704,65722) = 2159099144