What is the Least Common Multiple of 32383 and 32401?

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 32383 and 32401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32383 and 32401, than apply into the LCM equation.

GCF(32383,32401) = 1
LCM(32383,32401) = ( 32383 × 32401) / 1
LCM(32383,32401) = 1049241583 / 1
LCM(32383,32401) = 1049241583

Least Common Multiple (LCM) of 32383 and 32401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32383 and 32401. First we will calculate the prime factors of 32383 and 32401.

Prime Factorization of 32383

Prime Factorization of 32401

Now multiplying the highest exponent prime factors to calculate the LCM of 32383 and 32401.

LCM(32383,32401) = 13¹ × 47¹ × 53¹ × 32401¹
LCM(32383,32401) = 1049241583