What is the Least Common Multiple of 65937 and 65949?

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 65937 and 65949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65937 and 65949, than apply into the LCM equation.

GCF(65937,65949) = 3
LCM(65937,65949) = ( 65937 × 65949) / 3
LCM(65937,65949) = 4348479213 / 3
LCM(65937,65949) = 1449493071

Least Common Multiple (LCM) of 65937 and 65949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65937 and 65949. First we will calculate the prime factors of 65937 and 65949.

Prime Factorization of 65937

Prime Factorization of 65949

Now multiplying the highest exponent prime factors to calculate the LCM of 65937 and 65949.

LCM(65937,65949) = 3¹ × 31¹ × 709¹ × 13¹ × 19¹ × 89¹
LCM(65937,65949) = 1449493071