GCF and LCM Calculator Logo

What is the Least Common Multiple of 11965 and 11970?

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 11965 and 11970 is 28644210.

LCM(11965,11970) = 28644210

LCM Calculator and
and

Least Common Multiple of 11965 and 11970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11965 and 11970, than apply into the LCM equation.

GCF(11965,11970) = 5
LCM(11965,11970) = ( 11965 × 11970) / 5
LCM(11965,11970) = 143221050 / 5
LCM(11965,11970) = 28644210

Least Common Multiple (LCM) of 11965 and 11970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11965 and 11970. First we will calculate the prime factors of 11965 and 11970.

Prime Factorization of 11965

Prime factors of 11965 are 5, 2393. Prime factorization of 11965 in exponential form is:

11965 = 51 × 23931

Prime Factorization of 11970

Prime factors of 11970 are 2, 3, 5, 7, 19. Prime factorization of 11970 in exponential form is:

11970 = 21 × 32 × 51 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 11965 and 11970.

LCM(11965,11970) = 51 × 23931 × 21 × 32 × 71 × 191
LCM(11965,11970) = 28644210