What is the Least Common Multiple of 76092 and 76112?

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 76092 and 76112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76092 and 76112, than apply into the LCM equation.

GCF(76092,76112) = 4
LCM(76092,76112) = ( 76092 × 76112) / 4
LCM(76092,76112) = 5791514304 / 4
LCM(76092,76112) = 1447878576

Least Common Multiple (LCM) of 76092 and 76112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76092 and 76112. First we will calculate the prime factors of 76092 and 76112.

Prime Factorization of 76092

Prime Factorization of 76112

Now multiplying the highest exponent prime factors to calculate the LCM of 76092 and 76112.

LCM(76092,76112) = 2⁴ × 3¹ × 17¹ × 373¹ × 67¹ × 71¹
LCM(76092,76112) = 1447878576