What is the Least Common Multiple of 76923 and 76928?

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 76923 and 76928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76923 and 76928, than apply into the LCM equation.

GCF(76923,76928) = 1
LCM(76923,76928) = ( 76923 × 76928) / 1
LCM(76923,76928) = 5917532544 / 1
LCM(76923,76928) = 5917532544

Least Common Multiple (LCM) of 76923 and 76928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76923 and 76928. First we will calculate the prime factors of 76923 and 76928.

Prime Factorization of 76923

Prime Factorization of 76928

Now multiplying the highest exponent prime factors to calculate the LCM of 76923 and 76928.

LCM(76923,76928) = 3³ × 7¹ × 11¹ × 37¹ × 2⁷ × 601¹
LCM(76923,76928) = 5917532544