What is the Least Common Multiple of 65137 and 65141?

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 65137 and 65141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65137 and 65141, than apply into the LCM equation.

GCF(65137,65141) = 1
LCM(65137,65141) = ( 65137 × 65141) / 1
LCM(65137,65141) = 4243089317 / 1
LCM(65137,65141) = 4243089317

Least Common Multiple (LCM) of 65137 and 65141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65137 and 65141. First we will calculate the prime factors of 65137 and 65141.

Prime Factorization of 65137

Prime Factorization of 65141

Now multiplying the highest exponent prime factors to calculate the LCM of 65137 and 65141.

LCM(65137,65141) = 53¹ × 1229¹ × 65141¹
LCM(65137,65141) = 4243089317