What is the Least Common Multiple of 10866 and 10876?

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 10866 and 10876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10866 and 10876, than apply into the LCM equation.

GCF(10866,10876) = 2
LCM(10866,10876) = ( 10866 × 10876) / 2
LCM(10866,10876) = 118178616 / 2
LCM(10866,10876) = 59089308

Least Common Multiple (LCM) of 10866 and 10876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10866 and 10876. First we will calculate the prime factors of 10866 and 10876.

Prime Factorization of 10866

Prime Factorization of 10876

Now multiplying the highest exponent prime factors to calculate the LCM of 10866 and 10876.

LCM(10866,10876) = 2² × 3¹ × 1811¹ × 2719¹
LCM(10866,10876) = 59089308