What is the Least Common Multiple of 65889 and 65909?

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 65889 and 65909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65889 and 65909, than apply into the LCM equation.

GCF(65889,65909) = 1
LCM(65889,65909) = ( 65889 × 65909) / 1
LCM(65889,65909) = 4342678101 / 1
LCM(65889,65909) = 4342678101

Least Common Multiple (LCM) of 65889 and 65909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65889 and 65909. First we will calculate the prime factors of 65889 and 65909.

Prime Factorization of 65889

Prime Factorization of 65909

Now multiplying the highest exponent prime factors to calculate the LCM of 65889 and 65909.

LCM(65889,65909) = 3² × 7321¹ × 17¹ × 3877¹
LCM(65889,65909) = 4342678101