What is the Least Common Multiple of 76812 and 76827?

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 76812 and 76827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76812 and 76827, than apply into the LCM equation.

GCF(76812,76827) = 3
LCM(76812,76827) = ( 76812 × 76827) / 3
LCM(76812,76827) = 5901235524 / 3
LCM(76812,76827) = 1967078508

Least Common Multiple (LCM) of 76812 and 76827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76812 and 76827. First we will calculate the prime factors of 76812 and 76827.

Prime Factorization of 76812

Prime Factorization of 76827

Now multiplying the highest exponent prime factors to calculate the LCM of 76812 and 76827.

LCM(76812,76827) = 2² × 3¹ × 37¹ × 173¹ × 25609¹
LCM(76812,76827) = 1967078508