What is the Least Common Multiple of 65271 and 65276?

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 65271 and 65276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65271 and 65276, than apply into the LCM equation.

GCF(65271,65276) = 1
LCM(65271,65276) = ( 65271 × 65276) / 1
LCM(65271,65276) = 4260629796 / 1
LCM(65271,65276) = 4260629796

Least Common Multiple (LCM) of 65271 and 65276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65271 and 65276. First we will calculate the prime factors of 65271 and 65276.

Prime Factorization of 65271

Prime Factorization of 65276

Now multiplying the highest exponent prime factors to calculate the LCM of 65271 and 65276.

LCM(65271,65276) = 3¹ × 21757¹ × 2² × 16319¹
LCM(65271,65276) = 4260629796