What is the Least Common Multiple of 65286 and 65296?

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 65286 and 65296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65286 and 65296, than apply into the LCM equation.

GCF(65286,65296) = 2
LCM(65286,65296) = ( 65286 × 65296) / 2
LCM(65286,65296) = 4262914656 / 2
LCM(65286,65296) = 2131457328

Least Common Multiple (LCM) of 65286 and 65296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65286 and 65296. First we will calculate the prime factors of 65286 and 65296.

Prime Factorization of 65286

Prime Factorization of 65296

Now multiplying the highest exponent prime factors to calculate the LCM of 65286 and 65296.

LCM(65286,65296) = 2⁴ × 3⁴ × 13¹ × 31¹ × 7¹ × 11¹ × 53¹
LCM(65286,65296) = 2131457328