What is the Least Common Multiple of 76802 and 76819?

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 76802 and 76819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76802 and 76819, than apply into the LCM equation.

GCF(76802,76819) = 1
LCM(76802,76819) = ( 76802 × 76819) / 1
LCM(76802,76819) = 5899852838 / 1
LCM(76802,76819) = 5899852838

Least Common Multiple (LCM) of 76802 and 76819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76802 and 76819. First we will calculate the prime factors of 76802 and 76819.

Prime Factorization of 76802

Prime Factorization of 76819

Now multiplying the highest exponent prime factors to calculate the LCM of 76802 and 76819.

LCM(76802,76819) = 2¹ × 11¹ × 3491¹ × 76819¹
LCM(76802,76819) = 5899852838