Least Common Multiple of 3732 and 3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3732 and 3740 the smallest integer that is 3489420 that is divisible by both numbers.

Least Common Multiple (LCM) of 3732 and 3740 is 3489420.

LCM(3732,3740) = 3489420

LCM of 3732 and 3740

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

LCM of:
and

Least Common Multiple of 3732 and 3740

LCM of 3732 and 3740 is 3489420

Least common multiple can be found by multiplying the highest exponent prime factors of 3732 and 3740. First we will calculate the prime factors of 3732 and 3740.

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

Prime Factorization of 3740


2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 3740 are 2, 5, 11,17. Prime factorization of 3740 in exponential form is:

3740 = 22×51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3732 and 3740.

LCM(3732,3740) = 22×31×51×111×171×3111
LCM(3732,3740) = 3489420

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

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740

Least Common Multiple of 3732 and 3740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3732 and 3740, than apply into the LCM equation.

GCF(3732,3740) = 4
LCM(3732,3740) = ( 3732 × 3740) / 4
LCM(3732,3740) = 13957680 / 4
LCM(3732,3740) = 3489420

Properties of LCM 3732 and 3740

(i) The LCM of 3740 and 3732 is associative

LCM of 3732 and 3740 = LCM of 3740 and 3732

Related Least Common Multiples of 3732

Related Least Common Multiples of 3740

Frequently Asked Questions on LCM of 3732 and 3740

1. What is the LCM of 3732 and 3740?

Answer: LCM of 3732 and 3740 is 3489420.

2. 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.

3. What are the Factors of 3740?

Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.

4. How to Find the LCM of 3732 and 3740?

Answer:

Least Common Multiple of 3732 and 3740 = 3489420

Step 1: Find the prime factorization of 3732

3732 = 2 x 2 x 3 x 311

Step 2: Find the prime factorization of 3740

3740 = 2 x 2 x 5 x 11 x 17

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

LCM = 3489420 = 2 x 2 x 3 x 5 x 11 x 17 x 311

Step 4: Therefore, the least common multiple of 3732 and 3740 is 3489420.