What is the Least Common Multiple of 32889 and 32897?

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 32889 and 32897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32889 and 32897, than apply into the LCM equation.

GCF(32889,32897) = 1
LCM(32889,32897) = ( 32889 × 32897) / 1
LCM(32889,32897) = 1081949433 / 1
LCM(32889,32897) = 1081949433

Least Common Multiple (LCM) of 32889 and 32897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32889 and 32897. First we will calculate the prime factors of 32889 and 32897.

Prime Factorization of 32889

Prime Factorization of 32897

Now multiplying the highest exponent prime factors to calculate the LCM of 32889 and 32897.

LCM(32889,32897) = 3¹ × 19¹ × 577¹ × 67¹ × 491¹
LCM(32889,32897) = 1081949433