Least Common Multiple of 3726 and 3732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3726 and 3732 the smallest integer that is 2317572 that is divisible by both numbers.

Least Common Multiple (LCM) of 3726 and 3732 is 2317572.

LCM(3726,3732) = 2317572

LCM of 3726 and 3732

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

LCM of:
and

Least Common Multiple of 3726 and 3732

LCM of 3726 and 3732 is 2317572

Least common multiple can be found by multiplying the highest exponent prime factors of 3726 and 3732. First we will calculate the prime factors of 3726 and 3732.

Prime Factorization of 3726


2 3726
3 1863
3 621
3 207
3 69
23 23
1

Prime factors of 3726 are 2, 3,23. Prime factorization of 3726 in exponential form is:

3726 = 21×34×231

Prime Factorization of 3732


2 3732
2 1866
3 933
311 311
1

Prime factors of 3732 are 2, 3,311. Prime factorization of 3732 in exponential form is:

3732 = 22×31×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 3726 and 3732.

LCM(3726,3732) = 22×34×231×3111
LCM(3726,3732) = 2317572

Factors of 3726

List of positive integer factors of 3726 that divides 3726 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726

Factors of 3732

List of positive integer factors of 3732 that divides 3732 without a remainder.

1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732

Least Common Multiple of 3726 and 3732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3726 and 3732, than apply into the LCM equation.

GCF(3726,3732) = 6
LCM(3726,3732) = ( 3726 × 3732) / 6
LCM(3726,3732) = 13905432 / 6
LCM(3726,3732) = 2317572

Properties of LCM 3726 and 3732

(i) The LCM of 3732 and 3726 is associative

LCM of 3726 and 3732 = LCM of 3732 and 3726

Related Least Common Multiples of 3726

Related Least Common Multiples of 3732

Frequently Asked Questions on LCM of 3726 and 3732

1. What is the LCM of 3726 and 3732?

Answer: LCM of 3726 and 3732 is 2317572.

2. What are the Factors of 3726?

Answer: Factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. There are 20 integers that are factors of 3726. The greatest factor of 3726 is 3726.

3. What are the Factors of 3732?

Answer: Factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732. There are 12 integers that are factors of 3732. The greatest factor of 3732 is 3732.

4. How to Find the LCM of 3726 and 3732?

Answer:

Least Common Multiple of 3726 and 3732 = 2317572

Step 1: Find the prime factorization of 3726

3726 = 2 x 3 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 3732

3732 = 2 x 2 x 3 x 311

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

LCM = 2317572 = 2 x 2 x 3 x 3 x 3 x 3 x 23 x 311

Step 4: Therefore, the least common multiple of 3726 and 3732 is 2317572.