What is the Least Common Multiple of 75328 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 75328 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 75328 and 75338, than apply into the LCM equation.

GCF(75328,75338) = 2
LCM(75328,75338) = ( 75328 × 75338) / 2
LCM(75328,75338) = 5675060864 / 2
LCM(75328,75338) = 2837530432

Least Common Multiple (LCM) of 75328 and 75338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75328 and 75338. First we will calculate the prime factors of 75328 and 75338.

Prime Factorization of 75328

Prime Factorization of 75338

Now multiplying the highest exponent prime factors to calculate the LCM of 75328 and 75338.

LCM(75328,75338) = 2⁶ × 11¹ × 107¹ × 139¹ × 271¹
LCM(75328,75338) = 2837530432