GCF and LCM Calculator Logo

What is the Least Common Multiple of 11386 and 11398?

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 11386 and 11398 is 64888814.

LCM(11386,11398) = 64888814

LCM Calculator and
and

Least Common Multiple of 11386 and 11398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11386 and 11398, than apply into the LCM equation.

GCF(11386,11398) = 2
LCM(11386,11398) = ( 11386 × 11398) / 2
LCM(11386,11398) = 129777628 / 2
LCM(11386,11398) = 64888814

Least Common Multiple (LCM) of 11386 and 11398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11386 and 11398. First we will calculate the prime factors of 11386 and 11398.

Prime Factorization of 11386

Prime factors of 11386 are 2, 5693. Prime factorization of 11386 in exponential form is:

11386 = 21 × 56931

Prime Factorization of 11398

Prime factors of 11398 are 2, 41, 139. Prime factorization of 11398 in exponential form is:

11398 = 21 × 411 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 11386 and 11398.

LCM(11386,11398) = 21 × 56931 × 411 × 1391
LCM(11386,11398) = 64888814