What is the Least Common Multiple of 10905 and 10923?

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 10905 and 10923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10905 and 10923, than apply into the LCM equation.

GCF(10905,10923) = 3
LCM(10905,10923) = ( 10905 × 10923) / 3
LCM(10905,10923) = 119115315 / 3
LCM(10905,10923) = 39705105

Least Common Multiple (LCM) of 10905 and 10923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10905 and 10923. First we will calculate the prime factors of 10905 and 10923.

Prime Factorization of 10905

Prime Factorization of 10923

Now multiplying the highest exponent prime factors to calculate the LCM of 10905 and 10923.

LCM(10905,10923) = 3¹ × 5¹ × 727¹ × 11¹ × 331¹
LCM(10905,10923) = 39705105