What is the Least Common Multiple of 75834 and 75842?

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 75834 and 75842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75834 and 75842, than apply into the LCM equation.

GCF(75834,75842) = 2
LCM(75834,75842) = ( 75834 × 75842) / 2
LCM(75834,75842) = 5751402228 / 2
LCM(75834,75842) = 2875701114

Least Common Multiple (LCM) of 75834 and 75842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75834 and 75842. First we will calculate the prime factors of 75834 and 75842.

Prime Factorization of 75834

Prime Factorization of 75842

Now multiplying the highest exponent prime factors to calculate the LCM of 75834 and 75842.

LCM(75834,75842) = 2¹ × 3² × 11¹ × 383¹ × 13¹ × 2917¹
LCM(75834,75842) = 2875701114