What is the Least Common Multiple of 32403 and 32413?

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 32403 and 32413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32403 and 32413, than apply into the LCM equation.

GCF(32403,32413) = 1
LCM(32403,32413) = ( 32403 × 32413) / 1
LCM(32403,32413) = 1050278439 / 1
LCM(32403,32413) = 1050278439

Least Common Multiple (LCM) of 32403 and 32413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32403 and 32413. First we will calculate the prime factors of 32403 and 32413.

Prime Factorization of 32403

Prime Factorization of 32413

Now multiplying the highest exponent prime factors to calculate the LCM of 32403 and 32413.

LCM(32403,32413) = 3¹ × 7¹ × 1543¹ × 32413¹
LCM(32403,32413) = 1050278439