Least Common Multiple of 3732 and 3736

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 3736 the smallest integer that is 3485688 that is divisible by both numbers.

Least Common Multiple (LCM) of 3732 and 3736 is 3485688.

LCM(3732,3736) = 3485688

LCM of 3732 and 3736

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

LCM of:
and

Least Common Multiple of 3732 and 3736

LCM of 3732 and 3736 is 3485688

Least common multiple can be found by multiplying the highest exponent prime factors of 3732 and 3736. First we will calculate the prime factors of 3732 and 3736.

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 3736


2 3736
2 1868
2 934
467 467
1

Prime factors of 3736 are 2,467. Prime factorization of 3736 in exponential form is:

3736 = 23×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 3732 and 3736.

LCM(3732,3736) = 23×31×3111×4671
LCM(3732,3736) = 3485688

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 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1, 2, 4, 8, 467, 934, 1868, 3736

Least Common Multiple of 3732 and 3736 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 3736, than apply into the LCM equation.

GCF(3732,3736) = 4
LCM(3732,3736) = ( 3732 × 3736) / 4
LCM(3732,3736) = 13942752 / 4
LCM(3732,3736) = 3485688

Properties of LCM 3732 and 3736

(i) The LCM of 3736 and 3732 is associative

LCM of 3732 and 3736 = LCM of 3736 and 3732

Related Least Common Multiples of 3732

Related Least Common Multiples of 3736

Frequently Asked Questions on LCM of 3732 and 3736

1. What is the LCM of 3732 and 3736?

Answer: LCM of 3732 and 3736 is 3485688.

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 3736?

Answer: Factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736. There are 8 integers that are factors of 3736. The greatest factor of 3736 is 3736.

4. How to Find the LCM of 3732 and 3736?

Answer:

Least Common Multiple of 3732 and 3736 = 3485688

Step 1: Find the prime factorization of 3732

3732 = 2 x 2 x 3 x 311

Step 2: Find the prime factorization of 3736

3736 = 2 x 2 x 2 x 467

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

LCM = 3485688 = 2 x 2 x 2 x 3 x 311 x 467

Step 4: Therefore, the least common multiple of 3732 and 3736 is 3485688.