What is the Least Common Multiple of 75834 and 75853?

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 75853 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 75853, than apply into the LCM equation.

GCF(75834,75853) = 1
LCM(75834,75853) = ( 75834 × 75853) / 1
LCM(75834,75853) = 5752236402 / 1
LCM(75834,75853) = 5752236402

Least Common Multiple (LCM) of 75834 and 75853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75834 and 75853. First we will calculate the prime factors of 75834 and 75853.

Prime Factorization of 75834

Prime Factorization of 75853

Now multiplying the highest exponent prime factors to calculate the LCM of 75834 and 75853.

LCM(75834,75853) = 2¹ × 3² × 11¹ × 383¹ × 75853¹
LCM(75834,75853) = 5752236402