What is the Least Common Multiple of 76803 and 76812?

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 76803 and 76812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76803 and 76812, than apply into the LCM equation.

GCF(76803,76812) = 3
LCM(76803,76812) = ( 76803 × 76812) / 3
LCM(76803,76812) = 5899392036 / 3
LCM(76803,76812) = 1966464012

Least Common Multiple (LCM) of 76803 and 76812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76803 and 76812. First we will calculate the prime factors of 76803 and 76812.

Prime Factorization of 76803

Prime Factorization of 76812

Now multiplying the highest exponent prime factors to calculate the LCM of 76803 and 76812.

LCM(76803,76812) = 3¹ × 25601¹ × 2² × 37¹ × 173¹
LCM(76803,76812) = 1966464012