What is the Least Common Multiple of 65289 and 65301?

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 65289 and 65301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65289 and 65301, than apply into the LCM equation.

GCF(65289,65301) = 3
LCM(65289,65301) = ( 65289 × 65301) / 3
LCM(65289,65301) = 4263436989 / 3
LCM(65289,65301) = 1421145663

Least Common Multiple (LCM) of 65289 and 65301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65289 and 65301. First we will calculate the prime factors of 65289 and 65301.

Prime Factorization of 65289

Prime Factorization of 65301

Now multiplying the highest exponent prime factors to calculate the LCM of 65289 and 65301.

LCM(65289,65301) = 3¹ × 7¹ × 3109¹ × 21767¹
LCM(65289,65301) = 1421145663