What is the Least Common Multiple of 75321 and 75338?

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 75321 and 75338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75321 and 75338, than apply into the LCM equation.

GCF(75321,75338) = 1
LCM(75321,75338) = ( 75321 × 75338) / 1
LCM(75321,75338) = 5674533498 / 1
LCM(75321,75338) = 5674533498

Least Common Multiple (LCM) of 75321 and 75338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75321 and 75338. First we will calculate the prime factors of 75321 and 75338.

Prime Factorization of 75321

Prime Factorization of 75338

Now multiplying the highest exponent prime factors to calculate the LCM of 75321 and 75338.

LCM(75321,75338) = 3² × 8369¹ × 2¹ × 139¹ × 271¹
LCM(75321,75338) = 5674533498