What is the Least Common Multiple of 65889 and 65904?

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 65904 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 65904, than apply into the LCM equation.

GCF(65889,65904) = 3
LCM(65889,65904) = ( 65889 × 65904) / 3
LCM(65889,65904) = 4342348656 / 3
LCM(65889,65904) = 1447449552

Least Common Multiple (LCM) of 65889 and 65904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65889 and 65904. First we will calculate the prime factors of 65889 and 65904.

Prime Factorization of 65889

Prime Factorization of 65904

Now multiplying the highest exponent prime factors to calculate the LCM of 65889 and 65904.

LCM(65889,65904) = 3² × 7321¹ × 2⁴ × 1373¹
LCM(65889,65904) = 1447449552