What is the Least Common Multiple of 65331 and 65338?

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 65331 and 65338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65331 and 65338, than apply into the LCM equation.

GCF(65331,65338) = 7
LCM(65331,65338) = ( 65331 × 65338) / 7
LCM(65331,65338) = 4268596878 / 7
LCM(65331,65338) = 609799554

Least Common Multiple (LCM) of 65331 and 65338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65331 and 65338. First we will calculate the prime factors of 65331 and 65338.

Prime Factorization of 65331

Prime Factorization of 65338

Now multiplying the highest exponent prime factors to calculate the LCM of 65331 and 65338.

LCM(65331,65338) = 3² × 7¹ × 17¹ × 61¹ × 2¹ × 13¹ × 359¹
LCM(65331,65338) = 609799554