What is the Least Common Multiple of 10344 and 10364?

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 10344 and 10364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10344 and 10364, than apply into the LCM equation.

GCF(10344,10364) = 4
LCM(10344,10364) = ( 10344 × 10364) / 4
LCM(10344,10364) = 107205216 / 4
LCM(10344,10364) = 26801304

Least Common Multiple (LCM) of 10344 and 10364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10344 and 10364. First we will calculate the prime factors of 10344 and 10364.

Prime Factorization of 10344

Prime Factorization of 10364

Now multiplying the highest exponent prime factors to calculate the LCM of 10344 and 10364.

LCM(10344,10364) = 2³ × 3¹ × 431¹ × 2591¹
LCM(10344,10364) = 26801304