What is the Least Common Multiple of 32897 and 32904?

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 32897 and 32904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32897 and 32904, than apply into the LCM equation.

GCF(32897,32904) = 1
LCM(32897,32904) = ( 32897 × 32904) / 1
LCM(32897,32904) = 1082442888 / 1
LCM(32897,32904) = 1082442888

Least Common Multiple (LCM) of 32897 and 32904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32897 and 32904. First we will calculate the prime factors of 32897 and 32904.

Prime Factorization of 32897

Prime Factorization of 32904

Now multiplying the highest exponent prime factors to calculate the LCM of 32897 and 32904.

LCM(32897,32904) = 67¹ × 491¹ × 2³ × 3² × 457¹
LCM(32897,32904) = 1082442888