GCF and LCM Calculator Logo

What is the Least Common Multiple of 11358 and 11376?

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 11358 and 11376 is 7178256.

LCM(11358,11376) = 7178256

LCM Calculator and
and

Least Common Multiple of 11358 and 11376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11358 and 11376, than apply into the LCM equation.

GCF(11358,11376) = 18
LCM(11358,11376) = ( 11358 × 11376) / 18
LCM(11358,11376) = 129208608 / 18
LCM(11358,11376) = 7178256

Least Common Multiple (LCM) of 11358 and 11376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11358 and 11376. First we will calculate the prime factors of 11358 and 11376.

Prime Factorization of 11358

Prime factors of 11358 are 2, 3, 631. Prime factorization of 11358 in exponential form is:

11358 = 21 × 32 × 6311

Prime Factorization of 11376

Prime factors of 11376 are 2, 3, 79. Prime factorization of 11376 in exponential form is:

11376 = 24 × 32 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 11358 and 11376.

LCM(11358,11376) = 24 × 32 × 6311 × 791
LCM(11358,11376) = 7178256