Least Common Multiple of 3724 and 3725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3724 and 3725 the smallest integer that is 13871900 that is divisible by both numbers.

Least Common Multiple (LCM) of 3724 and 3725 is 13871900.

LCM(3724,3725) = 13871900

LCM of 3724 and 3725

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

LCM of:
and

Least Common Multiple of 3724 and 3725

LCM of 3724 and 3725 is 13871900

Least common multiple can be found by multiplying the highest exponent prime factors of 3724 and 3725. First we will calculate the prime factors of 3724 and 3725.

Prime Factorization of 3724


2 3724
2 1862
7 931
7 133
19 19
1

Prime factors of 3724 are 2, 7,19. Prime factorization of 3724 in exponential form is:

3724 = 22×72×191

Prime Factorization of 3725


5 3725
5 745
149 149
1

Prime factors of 3725 are 5,149. Prime factorization of 3725 in exponential form is:

3725 = 52×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3724 and 3725.

LCM(3724,3725) = 22×52×72×191×1491
LCM(3724,3725) = 13871900

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724

Factors of 3725

List of positive integer factors of 3725 that divides 3725 without a remainder.

1, 5, 25, 149, 745, 3725

Least Common Multiple of 3724 and 3725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3724 and 3725, than apply into the LCM equation.

GCF(3724,3725) = 1
LCM(3724,3725) = ( 3724 × 3725) / 1
LCM(3724,3725) = 13871900 / 1
LCM(3724,3725) = 13871900

Properties of LCM 3724 and 3725

(i) The LCM of 3725 and 3724 is associative

LCM of 3724 and 3725 = LCM of 3725 and 3724

Related Least Common Multiples of 3724

Related Least Common Multiples of 3725

Frequently Asked Questions on LCM of 3724 and 3725

1. What is the LCM of 3724 and 3725?

Answer: LCM of 3724 and 3725 is 13871900.

2. What are the Factors of 3724?

Answer: Factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724. There are 18 integers that are factors of 3724. The greatest factor of 3724 is 3724.

3. What are the Factors of 3725?

Answer: Factors of 3725 are 1, 5, 25, 149, 745, 3725. There are 6 integers that are factors of 3725. The greatest factor of 3725 is 3725.

4. How to Find the LCM of 3724 and 3725?

Answer:

Least Common Multiple of 3724 and 3725 = 13871900

Step 1: Find the prime factorization of 3724

3724 = 2 x 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 3725

3725 = 5 x 5 x 149

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

LCM = 13871900 = 2 x 2 x 5 x 5 x 7 x 7 x 19 x 149

Step 4: Therefore, the least common multiple of 3724 and 3725 is 13871900.