What is the Least Common Multiple of 10884 and 10899?

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 10884 and 10899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10884 and 10899, than apply into the LCM equation.

GCF(10884,10899) = 3
LCM(10884,10899) = ( 10884 × 10899) / 3
LCM(10884,10899) = 118624716 / 3
LCM(10884,10899) = 39541572

Least Common Multiple (LCM) of 10884 and 10899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10884 and 10899. First we will calculate the prime factors of 10884 and 10899.

Prime Factorization of 10884

Prime Factorization of 10899

Now multiplying the highest exponent prime factors to calculate the LCM of 10884 and 10899.

LCM(10884,10899) = 2² × 3² × 907¹ × 7¹ × 173¹
LCM(10884,10899) = 39541572