GCF and LCM Calculator Logo

What is the Least Common Multiple of 3661 and 3680?

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 3661 and 3680 is 13472480.

LCM(3661,3680) = 13472480

LCM Calculator and
and

Least Common Multiple of 3661 and 3680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3661 and 3680, than apply into the LCM equation.

GCF(3661,3680) = 1
LCM(3661,3680) = ( 3661 × 3680) / 1
LCM(3661,3680) = 13472480 / 1
LCM(3661,3680) = 13472480

Least Common Multiple (LCM) of 3661 and 3680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3661 and 3680. First we will calculate the prime factors of 3661 and 3680.

Prime Factorization of 3661

Prime factors of 3661 are 7, 523. Prime factorization of 3661 in exponential form is:

3661 = 71 × 5231

Prime Factorization of 3680

Prime factors of 3680 are 2, 5, 23. Prime factorization of 3680 in exponential form is:

3680 = 25 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3661 and 3680.

LCM(3661,3680) = 71 × 5231 × 25 × 51 × 231
LCM(3661,3680) = 13472480