What is the Least Common Multiple of 76802 and 76816?

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 76816 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 76816, than apply into the LCM equation.

GCF(76802,76816) = 2
LCM(76802,76816) = ( 76802 × 76816) / 2
LCM(76802,76816) = 5899622432 / 2
LCM(76802,76816) = 2949811216

Least Common Multiple (LCM) of 76802 and 76816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76802 and 76816. First we will calculate the prime factors of 76802 and 76816.

Prime Factorization of 76802

Prime Factorization of 76816

Now multiplying the highest exponent prime factors to calculate the LCM of 76802 and 76816.

LCM(76802,76816) = 2⁴ × 11¹ × 3491¹ × 4801¹
LCM(76802,76816) = 2949811216