GCF and LCM Calculator Logo

What is the Least Common Multiple of 11534 and 11538?

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 11534 and 11538 is 66539646.

LCM(11534,11538) = 66539646

LCM Calculator and
and

Least Common Multiple of 11534 and 11538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11534 and 11538, than apply into the LCM equation.

GCF(11534,11538) = 2
LCM(11534,11538) = ( 11534 × 11538) / 2
LCM(11534,11538) = 133079292 / 2
LCM(11534,11538) = 66539646

Least Common Multiple (LCM) of 11534 and 11538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11534 and 11538. First we will calculate the prime factors of 11534 and 11538.

Prime Factorization of 11534

Prime factors of 11534 are 2, 73, 79. Prime factorization of 11534 in exponential form is:

11534 = 21 × 731 × 791

Prime Factorization of 11538

Prime factors of 11538 are 2, 3, 641. Prime factorization of 11538 in exponential form is:

11538 = 21 × 32 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 11534 and 11538.

LCM(11534,11538) = 21 × 731 × 791 × 32 × 6411
LCM(11534,11538) = 66539646