What is the Least Common Multiple of 32896 and 32903?

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 32896 and 32903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32896 and 32903, than apply into the LCM equation.

GCF(32896,32903) = 1
LCM(32896,32903) = ( 32896 × 32903) / 1
LCM(32896,32903) = 1082377088 / 1
LCM(32896,32903) = 1082377088

Least Common Multiple (LCM) of 32896 and 32903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32896 and 32903. First we will calculate the prime factors of 32896 and 32903.

Prime Factorization of 32896

Prime Factorization of 32903

Now multiplying the highest exponent prime factors to calculate the LCM of 32896 and 32903.

LCM(32896,32903) = 2⁷ × 257¹ × 13¹ × 2531¹
LCM(32896,32903) = 1082377088