What is the Least Common Multiple of 32319 and 32335?

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 32319 and 32335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32319 and 32335, than apply into the LCM equation.

GCF(32319,32335) = 1
LCM(32319,32335) = ( 32319 × 32335) / 1
LCM(32319,32335) = 1045034865 / 1
LCM(32319,32335) = 1045034865

Least Common Multiple (LCM) of 32319 and 32335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32319 and 32335. First we will calculate the prime factors of 32319 and 32335.

Prime Factorization of 32319

Prime Factorization of 32335

Now multiplying the highest exponent prime factors to calculate the LCM of 32319 and 32335.

LCM(32319,32335) = 3⁵ × 7¹ × 19¹ × 5¹ × 29¹ × 223¹
LCM(32319,32335) = 1045034865