What is the Least Common Multiple of 65271 and 65289?

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 65289 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 65289, than apply into the LCM equation.

GCF(65271,65289) = 3
LCM(65271,65289) = ( 65271 × 65289) / 3
LCM(65271,65289) = 4261478319 / 3
LCM(65271,65289) = 1420492773

Least Common Multiple (LCM) of 65271 and 65289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65271 and 65289. First we will calculate the prime factors of 65271 and 65289.

Prime Factorization of 65271

Prime Factorization of 65289

Now multiplying the highest exponent prime factors to calculate the LCM of 65271 and 65289.

LCM(65271,65289) = 3¹ × 21757¹ × 7¹ × 3109¹
LCM(65271,65289) = 1420492773