What is the Least Common Multiple of 76792 and 76799?

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 76792 and 76799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76792 and 76799, than apply into the LCM equation.

GCF(76792,76799) = 1
LCM(76792,76799) = ( 76792 × 76799) / 1
LCM(76792,76799) = 5897548808 / 1
LCM(76792,76799) = 5897548808

Least Common Multiple (LCM) of 76792 and 76799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76792 and 76799. First we will calculate the prime factors of 76792 and 76799.

Prime Factorization of 76792

Prime Factorization of 76799

Now multiplying the highest exponent prime factors to calculate the LCM of 76792 and 76799.

LCM(76792,76799) = 2³ × 29¹ × 331¹ × 61¹ × 1259¹
LCM(76792,76799) = 5897548808