What is the Least Common Multiple of 10524 and 10536?

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 10524 and 10536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10524 and 10536, than apply into the LCM equation.

GCF(10524,10536) = 12
LCM(10524,10536) = ( 10524 × 10536) / 12
LCM(10524,10536) = 110880864 / 12
LCM(10524,10536) = 9240072

Least Common Multiple (LCM) of 10524 and 10536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10524 and 10536. First we will calculate the prime factors of 10524 and 10536.

Prime Factorization of 10524

Prime Factorization of 10536

Now multiplying the highest exponent prime factors to calculate the LCM of 10524 and 10536.

LCM(10524,10536) = 2³ × 3¹ × 877¹ × 439¹
LCM(10524,10536) = 9240072