What is the Least Common Multiple of 75344 and 75362?

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 75344 and 75362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75344 and 75362, than apply into the LCM equation.

GCF(75344,75362) = 2
LCM(75344,75362) = ( 75344 × 75362) / 2
LCM(75344,75362) = 5678074528 / 2
LCM(75344,75362) = 2839037264

Least Common Multiple (LCM) of 75344 and 75362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75344 and 75362. First we will calculate the prime factors of 75344 and 75362.

Prime Factorization of 75344

Prime Factorization of 75362

Now multiplying the highest exponent prime factors to calculate the LCM of 75344 and 75362.

LCM(75344,75362) = 2⁴ × 17¹ × 277¹ × 7² × 769¹
LCM(75344,75362) = 2839037264