Least Common Multiple of 3668 and 3676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3668 and 3676 the smallest integer that is 3370892 that is divisible by both numbers.

Least Common Multiple (LCM) of 3668 and 3676 is 3370892.

LCM(3668,3676) = 3370892

LCM of 3668 and 3676

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

LCM of:
and

Least Common Multiple of 3668 and 3676

LCM of 3668 and 3676 is 3370892

Least common multiple can be found by multiplying the highest exponent prime factors of 3668 and 3676. First we will calculate the prime factors of 3668 and 3676.

Prime Factorization of 3668


2 3668
2 1834
7 917
131 131
1

Prime factors of 3668 are 2, 7,131. Prime factorization of 3668 in exponential form is:

3668 = 22×71×1311

Prime Factorization of 3676


2 3676
2 1838
919 919
1

Prime factors of 3676 are 2,919. Prime factorization of 3676 in exponential form is:

3676 = 22×9191

Now multiplying the highest exponent prime factors to calculate the LCM of 3668 and 3676.

LCM(3668,3676) = 22×71×1311×9191
LCM(3668,3676) = 3370892

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668

Factors of 3676

List of positive integer factors of 3676 that divides 3676 without a remainder.

1, 2, 4, 919, 1838, 3676

Least Common Multiple of 3668 and 3676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3668 and 3676, than apply into the LCM equation.

GCF(3668,3676) = 4
LCM(3668,3676) = ( 3668 × 3676) / 4
LCM(3668,3676) = 13483568 / 4
LCM(3668,3676) = 3370892

Properties of LCM 3668 and 3676

(i) The LCM of 3676 and 3668 is associative

LCM of 3668 and 3676 = LCM of 3676 and 3668

Related Least Common Multiples of 3668

Related Least Common Multiples of 3676

Frequently Asked Questions on LCM of 3668 and 3676

1. What is the LCM of 3668 and 3676?

Answer: LCM of 3668 and 3676 is 3370892.

2. What are the Factors of 3668?

Answer: Factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. There are 12 integers that are factors of 3668. The greatest factor of 3668 is 3668.

3. What are the Factors of 3676?

Answer: Factors of 3676 are 1, 2, 4, 919, 1838, 3676. There are 6 integers that are factors of 3676. The greatest factor of 3676 is 3676.

4. How to Find the LCM of 3668 and 3676?

Answer:

Least Common Multiple of 3668 and 3676 = 3370892

Step 1: Find the prime factorization of 3668

3668 = 2 x 2 x 7 x 131

Step 2: Find the prime factorization of 3676

3676 = 2 x 2 x 919

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

LCM = 3370892 = 2 x 2 x 7 x 131 x 919

Step 4: Therefore, the least common multiple of 3668 and 3676 is 3370892.