Least Common Multiple of 3688 and 3692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3688 and 3692 the smallest integer that is 3404024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3688 and 3692 is 3404024.

LCM(3688,3692) = 3404024

LCM of 3688 and 3692

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

LCM of:
and

Least Common Multiple of 3688 and 3692

LCM of 3688 and 3692 is 3404024

Least common multiple can be found by multiplying the highest exponent prime factors of 3688 and 3692. First we will calculate the prime factors of 3688 and 3692.

Prime Factorization of 3688


2 3688
2 1844
2 922
461 461
1

Prime factors of 3688 are 2,461. Prime factorization of 3688 in exponential form is:

3688 = 23×4611

Prime Factorization of 3692


2 3692
2 1846
13 923
71 71
1

Prime factors of 3692 are 2, 13,71. Prime factorization of 3692 in exponential form is:

3692 = 22×131×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3688 and 3692.

LCM(3688,3692) = 23×131×711×4611
LCM(3688,3692) = 3404024

Factors of 3688

List of positive integer factors of 3688 that divides 3688 without a remainder.

1, 2, 4, 8, 461, 922, 1844, 3688

Factors of 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692

Least Common Multiple of 3688 and 3692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3688 and 3692, than apply into the LCM equation.

GCF(3688,3692) = 4
LCM(3688,3692) = ( 3688 × 3692) / 4
LCM(3688,3692) = 13616096 / 4
LCM(3688,3692) = 3404024

Properties of LCM 3688 and 3692

(i) The LCM of 3692 and 3688 is associative

LCM of 3688 and 3692 = LCM of 3692 and 3688

Related Least Common Multiples of 3688

Related Least Common Multiples of 3692

Frequently Asked Questions on LCM of 3688 and 3692

1. What is the LCM of 3688 and 3692?

Answer: LCM of 3688 and 3692 is 3404024.

2. What are the Factors of 3688?

Answer: Factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688. There are 8 integers that are factors of 3688. The greatest factor of 3688 is 3688.

3. What are the Factors of 3692?

Answer: Factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692. There are 12 integers that are factors of 3692. The greatest factor of 3692 is 3692.

4. How to Find the LCM of 3688 and 3692?

Answer:

Least Common Multiple of 3688 and 3692 = 3404024

Step 1: Find the prime factorization of 3688

3688 = 2 x 2 x 2 x 461

Step 2: Find the prime factorization of 3692

3692 = 2 x 2 x 13 x 71

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

LCM = 3404024 = 2 x 2 x 2 x 13 x 71 x 461

Step 4: Therefore, the least common multiple of 3688 and 3692 is 3404024.