What is the Least Common Multiple of 75338 and 75342?

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 75338 and 75342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75338 and 75342, than apply into the LCM equation.

GCF(75338,75342) = 2
LCM(75338,75342) = ( 75338 × 75342) / 2
LCM(75338,75342) = 5676115596 / 2
LCM(75338,75342) = 2838057798

Least Common Multiple (LCM) of 75338 and 75342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75338 and 75342. First we will calculate the prime factors of 75338 and 75342.

Prime Factorization of 75338

Prime Factorization of 75342

Now multiplying the highest exponent prime factors to calculate the LCM of 75338 and 75342.

LCM(75338,75342) = 2¹ × 139¹ × 271¹ × 3¹ × 29¹ × 433¹
LCM(75338,75342) = 2838057798