What is the Least Common Multiple of 10528 and 10541?

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 10528 and 10541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10528 and 10541, than apply into the LCM equation.

GCF(10528,10541) = 1
LCM(10528,10541) = ( 10528 × 10541) / 1
LCM(10528,10541) = 110975648 / 1
LCM(10528,10541) = 110975648

Least Common Multiple (LCM) of 10528 and 10541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10528 and 10541. First we will calculate the prime factors of 10528 and 10541.

Prime Factorization of 10528

Prime Factorization of 10541

Now multiplying the highest exponent prime factors to calculate the LCM of 10528 and 10541.

LCM(10528,10541) = 2⁵ × 7¹ × 47¹ × 83¹ × 127¹
LCM(10528,10541) = 110975648