What is the Least Common Multiple of 76012 and 76032?

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 76012 and 76032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76012 and 76032, than apply into the LCM equation.

GCF(76012,76032) = 4
LCM(76012,76032) = ( 76012 × 76032) / 4
LCM(76012,76032) = 5779344384 / 4
LCM(76012,76032) = 1444836096

Least Common Multiple (LCM) of 76012 and 76032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76012 and 76032. First we will calculate the prime factors of 76012 and 76032.

Prime Factorization of 76012

Prime Factorization of 76032

Now multiplying the highest exponent prime factors to calculate the LCM of 76012 and 76032.

LCM(76012,76032) = 2⁸ × 31¹ × 613¹ × 3³ × 11¹
LCM(76012,76032) = 1444836096