What is the Least Common Multiple of 10923 and 10935?

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 10923 and 10935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10923 and 10935, than apply into the LCM equation.

GCF(10923,10935) = 3
LCM(10923,10935) = ( 10923 × 10935) / 3
LCM(10923,10935) = 119443005 / 3
LCM(10923,10935) = 39814335

Least Common Multiple (LCM) of 10923 and 10935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10923 and 10935. First we will calculate the prime factors of 10923 and 10935.

Prime Factorization of 10923

Prime Factorization of 10935

Now multiplying the highest exponent prime factors to calculate the LCM of 10923 and 10935.

LCM(10923,10935) = 3⁷ × 11¹ × 331¹ × 5¹
LCM(10923,10935) = 39814335