Least Common Multiple of 3662 and 3669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3662 and 3669 the smallest integer that is 13435878 that is divisible by both numbers.

Least Common Multiple (LCM) of 3662 and 3669 is 13435878.

LCM(3662,3669) = 13435878

LCM of 3662 and 3669

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3662 and 3669

LCM of 3662 and 3669 is 13435878

Least common multiple can be found by multiplying the highest exponent prime factors of 3662 and 3669. First we will calculate the prime factors of 3662 and 3669.

Prime Factorization of 3662


2 3662
1831 1831
1

Prime factors of 3662 are 2,1831. Prime factorization of 3662 in exponential form is:

3662 = 21×18311

Prime Factorization of 3669


3 3669
1223 1223
1

Prime factors of 3669 are 3,1223. Prime factorization of 3669 in exponential form is:

3669 = 31×12231

Now multiplying the highest exponent prime factors to calculate the LCM of 3662 and 3669.

LCM(3662,3669) = 21×31×12231×18311
LCM(3662,3669) = 13435878

Factors of 3662

List of positive integer factors of 3662 that divides 3662 without a remainder.

1, 2, 1831, 3662

Factors of 3669

List of positive integer factors of 3669 that divides 3669 without a remainder.

1, 3, 1223, 3669

Least Common Multiple of 3662 and 3669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3662 and 3669, than apply into the LCM equation.

GCF(3662,3669) = 1
LCM(3662,3669) = ( 3662 × 3669) / 1
LCM(3662,3669) = 13435878 / 1
LCM(3662,3669) = 13435878

Properties of LCM 3662 and 3669

(i) The LCM of 3669 and 3662 is associative

LCM of 3662 and 3669 = LCM of 3669 and 3662

Related Least Common Multiples of 3662

Related Least Common Multiples of 3669

Frequently Asked Questions on LCM of 3662 and 3669

1. What is the LCM of 3662 and 3669?

Answer: LCM of 3662 and 3669 is 13435878.

2. What are the Factors of 3662?

Answer: Factors of 3662 are 1, 2, 1831, 3662. There are 4 integers that are factors of 3662. The greatest factor of 3662 is 3662.

3. What are the Factors of 3669?

Answer: Factors of 3669 are 1, 3, 1223, 3669. There are 4 integers that are factors of 3669. The greatest factor of 3669 is 3669.

4. How to Find the LCM of 3662 and 3669?

Answer:

Least Common Multiple of 3662 and 3669 = 13435878

Step 1: Find the prime factorization of 3662

3662 = 2 x 1831

Step 2: Find the prime factorization of 3669

3669 = 3 x 1223

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13435878 = 2 x 3 x 1223 x 1831

Step 4: Therefore, the least common multiple of 3662 and 3669 is 13435878.