What is the Least Common Multiple of 65380 and 65389?

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 65380 and 65389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65380 and 65389, than apply into the LCM equation.

GCF(65380,65389) = 1
LCM(65380,65389) = ( 65380 × 65389) / 1
LCM(65380,65389) = 4275132820 / 1
LCM(65380,65389) = 4275132820

Least Common Multiple (LCM) of 65380 and 65389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65380 and 65389. First we will calculate the prime factors of 65380 and 65389.

Prime Factorization of 65380

Prime Factorization of 65389

Now multiplying the highest exponent prime factors to calculate the LCM of 65380 and 65389.

LCM(65380,65389) = 2² × 5¹ × 7¹ × 467¹ × 23¹ × 2843¹
LCM(65380,65389) = 4275132820