Least Common Multiple of 3735 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 3735 and 3736 the smallest integer that is 13953960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3735 and 3736 is 13953960.

LCM(3735,3736) = 13953960

LCM of 3735 and 3736

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

LCM of:
and

Least Common Multiple of 3735 and 3736

LCM of 3735 and 3736 is 13953960

Least common multiple can be found by multiplying the highest exponent prime factors of 3735 and 3736. First we will calculate the prime factors of 3735 and 3736.

Prime Factorization of 3735


3 3735
3 1245
5 415
83 83
1

Prime factors of 3735 are 3, 5,83. Prime factorization of 3735 in exponential form is:

3735 = 32×51×831

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 3735 and 3736.

LCM(3735,3736) = 23×32×51×831×4671
LCM(3735,3736) = 13953960

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735

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 3735 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 3735 and 3736, than apply into the LCM equation.

GCF(3735,3736) = 1
LCM(3735,3736) = ( 3735 × 3736) / 1
LCM(3735,3736) = 13953960 / 1
LCM(3735,3736) = 13953960

Properties of LCM 3735 and 3736

(i) The LCM of 3736 and 3735 is associative

LCM of 3735 and 3736 = LCM of 3736 and 3735

Related Least Common Multiples of 3735

Related Least Common Multiples of 3736

Frequently Asked Questions on LCM of 3735 and 3736

1. What is the LCM of 3735 and 3736?

Answer: LCM of 3735 and 3736 is 13953960.

2. What are the Factors of 3735?

Answer: Factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735. There are 12 integers that are factors of 3735. The greatest factor of 3735 is 3735.

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 3735 and 3736?

Answer:

Least Common Multiple of 3735 and 3736 = 13953960

Step 1: Find the prime factorization of 3735

3735 = 3 x 3 x 5 x 83

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 = 13953960 = 2 x 2 x 2 x 3 x 3 x 5 x 83 x 467

Step 4: Therefore, the least common multiple of 3735 and 3736 is 13953960.