GCF and LCM Calculator Logo

What is the Least Common Multiple of 3673 and 3690?

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 3673 and 3690 is 13553370.

LCM(3673,3690) = 13553370

LCM Calculator and
and

Least Common Multiple of 3673 and 3690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3673 and 3690, than apply into the LCM equation.

GCF(3673,3690) = 1
LCM(3673,3690) = ( 3673 × 3690) / 1
LCM(3673,3690) = 13553370 / 1
LCM(3673,3690) = 13553370

Least Common Multiple (LCM) of 3673 and 3690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3673 and 3690. First we will calculate the prime factors of 3673 and 3690.

Prime Factorization of 3673

Prime factors of 3673 are 3673. Prime factorization of 3673 in exponential form is:

3673 = 36731

Prime Factorization of 3690

Prime factors of 3690 are 2, 3, 5, 41. Prime factorization of 3690 in exponential form is:

3690 = 21 × 32 × 51 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3673 and 3690.

LCM(3673,3690) = 36731 × 21 × 32 × 51 × 411
LCM(3673,3690) = 13553370