What is the Least Common Multiple of 65884 and 65897?

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 65884 and 65897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65884 and 65897, than apply into the LCM equation.

GCF(65884,65897) = 13
LCM(65884,65897) = ( 65884 × 65897) / 13
LCM(65884,65897) = 4341557948 / 13
LCM(65884,65897) = 333965996

Least Common Multiple (LCM) of 65884 and 65897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65884 and 65897. First we will calculate the prime factors of 65884 and 65897.

Prime Factorization of 65884

Prime Factorization of 65897

Now multiplying the highest exponent prime factors to calculate the LCM of 65884 and 65897.

LCM(65884,65897) = 2² × 7¹ × 13¹ × 181¹ × 37¹ × 137¹
LCM(65884,65897) = 333965996