What is the Least Common Multiple of 76112 and 76119?

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 76112 and 76119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76112 and 76119, than apply into the LCM equation.

GCF(76112,76119) = 1
LCM(76112,76119) = ( 76112 × 76119) / 1
LCM(76112,76119) = 5793569328 / 1
LCM(76112,76119) = 5793569328

Least Common Multiple (LCM) of 76112 and 76119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76112 and 76119. First we will calculate the prime factors of 76112 and 76119.

Prime Factorization of 76112

Prime Factorization of 76119

Now multiplying the highest exponent prime factors to calculate the LCM of 76112 and 76119.

LCM(76112,76119) = 2⁴ × 67¹ × 71¹ × 3¹ × 25373¹
LCM(76112,76119) = 5793569328