What is the Least Common Multiple of 76032 and 76039?

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 76032 and 76039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76032 and 76039, than apply into the LCM equation.

GCF(76032,76039) = 1
LCM(76032,76039) = ( 76032 × 76039) / 1
LCM(76032,76039) = 5781397248 / 1
LCM(76032,76039) = 5781397248

Least Common Multiple (LCM) of 76032 and 76039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76032 and 76039. First we will calculate the prime factors of 76032 and 76039.

Prime Factorization of 76032

Prime Factorization of 76039

Now multiplying the highest exponent prime factors to calculate the LCM of 76032 and 76039.

LCM(76032,76039) = 2⁸ × 3³ × 11¹ × 76039¹
LCM(76032,76039) = 5781397248