What is the Least Common Multiple of 65337 and 65341?

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 65337 and 65341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65337 and 65341, than apply into the LCM equation.

GCF(65337,65341) = 1
LCM(65337,65341) = ( 65337 × 65341) / 1
LCM(65337,65341) = 4269184917 / 1
LCM(65337,65341) = 4269184917

Least Common Multiple (LCM) of 65337 and 65341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65337 and 65341. First we will calculate the prime factors of 65337 and 65341.

Prime Factorization of 65337

Prime Factorization of 65341

Now multiplying the highest exponent prime factors to calculate the LCM of 65337 and 65341.

LCM(65337,65341) = 3¹ × 29¹ × 751¹ × 19² × 181¹
LCM(65337,65341) = 4269184917