What is the Least Common Multiple of 76854 and 76860?

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 76854 and 76860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76854 and 76860, than apply into the LCM equation.

GCF(76854,76860) = 6
LCM(76854,76860) = ( 76854 × 76860) / 6
LCM(76854,76860) = 5906998440 / 6
LCM(76854,76860) = 984499740

Least Common Multiple (LCM) of 76854 and 76860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76854 and 76860. First we will calculate the prime factors of 76854 and 76860.

Prime Factorization of 76854

Prime Factorization of 76860

Now multiplying the highest exponent prime factors to calculate the LCM of 76854 and 76860.

LCM(76854,76860) = 2² × 3² × 12809¹ × 5¹ × 7¹ × 61¹
LCM(76854,76860) = 984499740