What is the Least Common Multiple of 75854 and 75865?

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 75854 and 75865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75854 and 75865, than apply into the LCM equation.

GCF(75854,75865) = 1
LCM(75854,75865) = ( 75854 × 75865) / 1
LCM(75854,75865) = 5754663710 / 1
LCM(75854,75865) = 5754663710

Least Common Multiple (LCM) of 75854 and 75865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75854 and 75865. First we will calculate the prime factors of 75854 and 75865.

Prime Factorization of 75854

Prime Factorization of 75865

Now multiplying the highest exponent prime factors to calculate the LCM of 75854 and 75865.

LCM(75854,75865) = 2¹ × 17¹ × 23¹ × 97¹ × 5¹ × 15173¹
LCM(75854,75865) = 5754663710