GCF and LCM Calculator Logo

What is the Least Common Multiple of 10965 and 10969?

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 10965 and 10969 is 120275085.

LCM(10965,10969) = 120275085

LCM Calculator and
and

Least Common Multiple of 10965 and 10969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10965 and 10969, than apply into the LCM equation.

GCF(10965,10969) = 1
LCM(10965,10969) = ( 10965 × 10969) / 1
LCM(10965,10969) = 120275085 / 1
LCM(10965,10969) = 120275085

Least Common Multiple (LCM) of 10965 and 10969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10965 and 10969. First we will calculate the prime factors of 10965 and 10969.

Prime Factorization of 10965

Prime factors of 10965 are 3, 5, 17, 43. Prime factorization of 10965 in exponential form is:

10965 = 31 × 51 × 171 × 431

Prime Factorization of 10969

Prime factors of 10969 are 7, 1567. Prime factorization of 10969 in exponential form is:

10969 = 71 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 10965 and 10969.

LCM(10965,10969) = 31 × 51 × 171 × 431 × 71 × 15671
LCM(10965,10969) = 120275085