What is the Least Common Multiple of 6528 and 6538?

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 6528 and 6538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6528 and 6538, than apply into the LCM equation.

GCF(6528,6538) = 2
LCM(6528,6538) = ( 6528 × 6538) / 2
LCM(6528,6538) = 42680064 / 2
LCM(6528,6538) = 21340032

Least Common Multiple (LCM) of 6528 and 6538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6528 and 6538. First we will calculate the prime factors of 6528 and 6538.

Prime Factorization of 6528

Prime Factorization of 6538

Now multiplying the highest exponent prime factors to calculate the LCM of 6528 and 6538.

LCM(6528,6538) = 2⁷ × 3¹ × 17¹ × 7¹ × 467¹
LCM(6528,6538) = 21340032