What is the Least Common Multiple of 75845 and 75851?

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 75845 and 75851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75845 and 75851, than apply into the LCM equation.

GCF(75845,75851) = 1
LCM(75845,75851) = ( 75845 × 75851) / 1
LCM(75845,75851) = 5752919095 / 1
LCM(75845,75851) = 5752919095

Least Common Multiple (LCM) of 75845 and 75851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75845 and 75851. First we will calculate the prime factors of 75845 and 75851.

Prime Factorization of 75845

Prime Factorization of 75851

Now multiplying the highest exponent prime factors to calculate the LCM of 75845 and 75851.

LCM(75845,75851) = 5¹ × 7¹ × 11¹ × 197¹ × 101¹ × 751¹
LCM(75845,75851) = 5752919095