Least Common Multiple of 3668 and 3673

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 3673 the smallest integer that is 13472564 that is divisible by both numbers.

Least Common Multiple (LCM) of 3668 and 3673 is 13472564.

LCM(3668,3673) = 13472564

LCM of 3668 and 3673

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

LCM of:
and

Least Common Multiple of 3668 and 3673

LCM of 3668 and 3673 is 13472564

Least common multiple can be found by multiplying the highest exponent prime factors of 3668 and 3673. First we will calculate the prime factors of 3668 and 3673.

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 3673


3673 3673
1

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

3673 = 36731

Now multiplying the highest exponent prime factors to calculate the LCM of 3668 and 3673.

LCM(3668,3673) = 22×71×1311×36731
LCM(3668,3673) = 13472564

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 3673

List of positive integer factors of 3673 that divides 3673 without a remainder.

1, 3673

Least Common Multiple of 3668 and 3673 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 3673, than apply into the LCM equation.

GCF(3668,3673) = 1
LCM(3668,3673) = ( 3668 × 3673) / 1
LCM(3668,3673) = 13472564 / 1
LCM(3668,3673) = 13472564

Properties of LCM 3668 and 3673

(i) The LCM of 3673 and 3668 is associative

LCM of 3668 and 3673 = LCM of 3673 and 3668

Related Least Common Multiples of 3668

Related Least Common Multiples of 3673

Frequently Asked Questions on LCM of 3668 and 3673

1. What is the LCM of 3668 and 3673?

Answer: LCM of 3668 and 3673 is 13472564.

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 3673?

Answer: Factors of 3673 are 1, 3673. There are 2 integers that are factors of 3673. The greatest factor of 3673 is 3673.

4. How to Find the LCM of 3668 and 3673?

Answer:

Least Common Multiple of 3668 and 3673 = 13472564

Step 1: Find the prime factorization of 3668

3668 = 2 x 2 x 7 x 131

Step 2: Find the prime factorization of 3673

3673 = 3673

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

LCM = 13472564 = 2 x 2 x 7 x 131 x 3673

Step 4: Therefore, the least common multiple of 3668 and 3673 is 13472564.