GCF and LCM Calculator Logo

What is the Least Common Multiple of 3641 and 3649?

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 3641 and 3649 is 13286009.

LCM(3641,3649) = 13286009

LCM Calculator and
and

Least Common Multiple of 3641 and 3649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3641 and 3649, than apply into the LCM equation.

GCF(3641,3649) = 1
LCM(3641,3649) = ( 3641 × 3649) / 1
LCM(3641,3649) = 13286009 / 1
LCM(3641,3649) = 13286009

Least Common Multiple (LCM) of 3641 and 3649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3641 and 3649. First we will calculate the prime factors of 3641 and 3649.

Prime Factorization of 3641

Prime factors of 3641 are 11, 331. Prime factorization of 3641 in exponential form is:

3641 = 111 × 3311

Prime Factorization of 3649

Prime factors of 3649 are 41, 89. Prime factorization of 3649 in exponential form is:

3649 = 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3641 and 3649.

LCM(3641,3649) = 111 × 3311 × 411 × 891
LCM(3641,3649) = 13286009