What is the Least Common Multiple of 76863 and 76881?

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 76863 and 76881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76863 and 76881, than apply into the LCM equation.

GCF(76863,76881) = 3
LCM(76863,76881) = ( 76863 × 76881) / 3
LCM(76863,76881) = 5909304303 / 3
LCM(76863,76881) = 1969768101

Least Common Multiple (LCM) of 76863 and 76881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76863 and 76881. First we will calculate the prime factors of 76863 and 76881.

Prime Factorization of 76863

Prime Factorization of 76881

Now multiplying the highest exponent prime factors to calculate the LCM of 76863 and 76881.

LCM(76863,76881) = 3¹ × 25621¹ × 7² × 523¹
LCM(76863,76881) = 1969768101