What is the Least Common Multiple of 65680 and 65686?

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 65680 and 65686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65680 and 65686, than apply into the LCM equation.

GCF(65680,65686) = 2
LCM(65680,65686) = ( 65680 × 65686) / 2
LCM(65680,65686) = 4314256480 / 2
LCM(65680,65686) = 2157128240

Least Common Multiple (LCM) of 65680 and 65686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65680 and 65686. First we will calculate the prime factors of 65680 and 65686.

Prime Factorization of 65680

Prime Factorization of 65686

Now multiplying the highest exponent prime factors to calculate the LCM of 65680 and 65686.

LCM(65680,65686) = 2⁴ × 5¹ × 821¹ × 32843¹
LCM(65680,65686) = 2157128240