What is the Least Common Multiple of 75844 and 75852?

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 75844 and 75852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75844 and 75852, than apply into the LCM equation.

GCF(75844,75852) = 4
LCM(75844,75852) = ( 75844 × 75852) / 4
LCM(75844,75852) = 5752919088 / 4
LCM(75844,75852) = 1438229772

Least Common Multiple (LCM) of 75844 and 75852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75844 and 75852. First we will calculate the prime factors of 75844 and 75852.

Prime Factorization of 75844

Prime Factorization of 75852

Now multiplying the highest exponent prime factors to calculate the LCM of 75844 and 75852.

LCM(75844,75852) = 2² × 67¹ × 283¹ × 3² × 7² × 43¹
LCM(75844,75852) = 1438229772