What is the Least Common Multiple of 75834 and 75850?

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 75850 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 75850, than apply into the LCM equation.

GCF(75834,75850) = 2
LCM(75834,75850) = ( 75834 × 75850) / 2
LCM(75834,75850) = 5752008900 / 2
LCM(75834,75850) = 2876004450

Least Common Multiple (LCM) of 75834 and 75850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75834 and 75850. First we will calculate the prime factors of 75834 and 75850.

Prime Factorization of 75834

Prime Factorization of 75850

Now multiplying the highest exponent prime factors to calculate the LCM of 75834 and 75850.

LCM(75834,75850) = 2¹ × 3² × 11¹ × 383¹ × 5² × 37¹ × 41¹
LCM(75834,75850) = 2876004450