What is the Least Common Multiple of 75342 and 75351?

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 75342 and 75351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75342 and 75351, than apply into the LCM equation.

GCF(75342,75351) = 3
LCM(75342,75351) = ( 75342 × 75351) / 3
LCM(75342,75351) = 5677095042 / 3
LCM(75342,75351) = 1892365014

Least Common Multiple (LCM) of 75342 and 75351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75342 and 75351. First we will calculate the prime factors of 75342 and 75351.

Prime Factorization of 75342

Prime Factorization of 75351

Now multiplying the highest exponent prime factors to calculate the LCM of 75342 and 75351.

LCM(75342,75351) = 2¹ × 3¹ × 29¹ × 433¹ × 25117¹
LCM(75342,75351) = 1892365014