Least Common Multiple of 3668 and 3675

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 3675 the smallest integer that is 1925700 that is divisible by both numbers.

Least Common Multiple (LCM) of 3668 and 3675 is 1925700.

LCM(3668,3675) = 1925700

LCM of 3668 and 3675

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

LCM of:
and

Least Common Multiple of 3668 and 3675

LCM of 3668 and 3675 is 1925700

Least common multiple can be found by multiplying the highest exponent prime factors of 3668 and 3675. First we will calculate the prime factors of 3668 and 3675.

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 3675


3 3675
5 1225
5 245
7 49
7 7
1

Prime factors of 3675 are 3, 5,7. Prime factorization of 3675 in exponential form is:

3675 = 31×52×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3668 and 3675.

LCM(3668,3675) = 22×31×52×72×1311
LCM(3668,3675) = 1925700

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 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675

Least Common Multiple of 3668 and 3675 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 3675, than apply into the LCM equation.

GCF(3668,3675) = 7
LCM(3668,3675) = ( 3668 × 3675) / 7
LCM(3668,3675) = 13479900 / 7
LCM(3668,3675) = 1925700

Properties of LCM 3668 and 3675

(i) The LCM of 3675 and 3668 is associative

LCM of 3668 and 3675 = LCM of 3675 and 3668

Related Least Common Multiples of 3668

Related Least Common Multiples of 3675

Frequently Asked Questions on LCM of 3668 and 3675

1. What is the LCM of 3668 and 3675?

Answer: LCM of 3668 and 3675 is 1925700.

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 3675?

Answer: Factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675. There are 18 integers that are factors of 3675. The greatest factor of 3675 is 3675.

4. How to Find the LCM of 3668 and 3675?

Answer:

Least Common Multiple of 3668 and 3675 = 1925700

Step 1: Find the prime factorization of 3668

3668 = 2 x 2 x 7 x 131

Step 2: Find the prime factorization of 3675

3675 = 3 x 5 x 5 x 7 x 7

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

LCM = 1925700 = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 131

Step 4: Therefore, the least common multiple of 3668 and 3675 is 1925700.