What is the Least Common Multiple of 76774 and 76793?

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 76774 and 76793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76774 and 76793, than apply into the LCM equation.

GCF(76774,76793) = 1
LCM(76774,76793) = ( 76774 × 76793) / 1
LCM(76774,76793) = 5895705782 / 1
LCM(76774,76793) = 5895705782

Least Common Multiple (LCM) of 76774 and 76793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76774 and 76793. First we will calculate the prime factors of 76774 and 76793.

Prime Factorization of 76774

Prime Factorization of 76793

Now multiplying the highest exponent prime factors to calculate the LCM of 76774 and 76793.

LCM(76774,76793) = 2¹ × 23¹ × 1669¹ × 41¹ × 1873¹
LCM(76774,76793) = 5895705782