GCF and LCM Calculator Logo

What is the Least Common Multiple of 11790 and 11798?

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 11790 and 11798 is 69549210.

LCM(11790,11798) = 69549210

LCM Calculator and
and

Least Common Multiple of 11790 and 11798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11790 and 11798, than apply into the LCM equation.

GCF(11790,11798) = 2
LCM(11790,11798) = ( 11790 × 11798) / 2
LCM(11790,11798) = 139098420 / 2
LCM(11790,11798) = 69549210

Least Common Multiple (LCM) of 11790 and 11798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11790 and 11798. First we will calculate the prime factors of 11790 and 11798.

Prime Factorization of 11790

Prime factors of 11790 are 2, 3, 5, 131. Prime factorization of 11790 in exponential form is:

11790 = 21 × 32 × 51 × 1311

Prime Factorization of 11798

Prime factors of 11798 are 2, 17, 347. Prime factorization of 11798 in exponential form is:

11798 = 21 × 171 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 11790 and 11798.

LCM(11790,11798) = 21 × 32 × 51 × 1311 × 171 × 3471
LCM(11790,11798) = 69549210