What is the Least Common Multiple of 92093 and 92112?

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 92093 and 92112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92093 and 92112, than apply into the LCM equation.

GCF(92093,92112) = 19
LCM(92093,92112) = ( 92093 × 92112) / 19
LCM(92093,92112) = 8482870416 / 19
LCM(92093,92112) = 446466864

Least Common Multiple (LCM) of 92093 and 92112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92093 and 92112. First we will calculate the prime factors of 92093 and 92112.

Prime Factorization of 92093

Prime Factorization of 92112

Now multiplying the highest exponent prime factors to calculate the LCM of 92093 and 92112.

LCM(92093,92112) = 19¹ × 37¹ × 131¹ × 2⁴ × 3¹ × 101¹
LCM(92093,92112) = 446466864