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What is the Least Common Multiple of 13528 and 13538?

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 (LCM) of 13528 and 13538 is 91571032.

LCM(13528,13538) = 91571032

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Least Common Multiple of 13528 and 13538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13528 and 13538, than apply into the LCM equation.

GCF(13528,13538) = 2
LCM(13528,13538) = ( 13528 × 13538) / 2
LCM(13528,13538) = 183142064 / 2
LCM(13528,13538) = 91571032

Least Common Multiple (LCM) of 13528 and 13538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13528 and 13538. First we will calculate the prime factors of 13528 and 13538.

Prime Factorization of 13528

Prime factors of 13528 are 2, 19, 89. Prime factorization of 13528 in exponential form is:

13528 = 23 × 191 × 891

Prime Factorization of 13538

Prime factors of 13538 are 2, 7, 967. Prime factorization of 13538 in exponential form is:

13538 = 21 × 71 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 13528 and 13538.

LCM(13528,13538) = 23 × 191 × 891 × 71 × 9671
LCM(13528,13538) = 91571032