What is the Least Common Multiple of 75849 and 75861?

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 75849 and 75861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75849 and 75861, than apply into the LCM equation.

GCF(75849,75861) = 3
LCM(75849,75861) = ( 75849 × 75861) / 3
LCM(75849,75861) = 5753980989 / 3
LCM(75849,75861) = 1917993663

Least Common Multiple (LCM) of 75849 and 75861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75849 and 75861. First we will calculate the prime factors of 75849 and 75861.

Prime Factorization of 75849

Prime Factorization of 75861

Now multiplying the highest exponent prime factors to calculate the LCM of 75849 and 75861.

LCM(75849,75861) = 3² × 131¹ × 193¹ × 8429¹
LCM(75849,75861) = 1917993663