What is the Least Common Multiple of 35093 and 35112?

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 35093 and 35112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35093 and 35112, than apply into the LCM equation.

GCF(35093,35112) = 19
LCM(35093,35112) = ( 35093 × 35112) / 19
LCM(35093,35112) = 1232185416 / 19
LCM(35093,35112) = 64851864

Least Common Multiple (LCM) of 35093 and 35112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35093 and 35112. First we will calculate the prime factors of 35093 and 35112.

Prime Factorization of 35093

Prime Factorization of 35112

Now multiplying the highest exponent prime factors to calculate the LCM of 35093 and 35112.

LCM(35093,35112) = 19¹ × 1847¹ × 2³ × 3¹ × 7¹ × 11¹
LCM(35093,35112) = 64851864