Least Common Multiple of 3721 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 3721 and 3725 the smallest integer that is 13860725 that is divisible by both numbers.

Least Common Multiple (LCM) of 3721 and 3725 is 13860725.

LCM(3721,3725) = 13860725

LCM of 3721 and 3725

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

LCM of:
and

Least Common Multiple of 3721 and 3725

LCM of 3721 and 3725 is 13860725

Least common multiple can be found by multiplying the highest exponent prime factors of 3721 and 3725. First we will calculate the prime factors of 3721 and 3725.

Prime Factorization of 3721


61 3721
61 61
1

Prime factors of 3721 are 61. Prime factorization of 3721 in exponential form is:

3721 = 612

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 3721 and 3725.

LCM(3721,3725) = 52×612×1491
LCM(3721,3725) = 13860725

Factors of 3721

List of positive integer factors of 3721 that divides 3721 without a remainder.

1, 61, 3721

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 3721 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 3721 and 3725, than apply into the LCM equation.

GCF(3721,3725) = 1
LCM(3721,3725) = ( 3721 × 3725) / 1
LCM(3721,3725) = 13860725 / 1
LCM(3721,3725) = 13860725

Properties of LCM 3721 and 3725

(i) The LCM of 3725 and 3721 is associative

LCM of 3721 and 3725 = LCM of 3725 and 3721

Related Least Common Multiples of 3721

Related Least Common Multiples of 3725

Frequently Asked Questions on LCM of 3721 and 3725

1. What is the LCM of 3721 and 3725?

Answer: LCM of 3721 and 3725 is 13860725.

2. What are the Factors of 3721?

Answer: Factors of 3721 are 1, 61, 3721. There are 3 integers that are factors of 3721. The greatest factor of 3721 is 3721.

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 3721 and 3725?

Answer:

Least Common Multiple of 3721 and 3725 = 13860725

Step 1: Find the prime factorization of 3721

3721 = 61 x 61

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 = 13860725 = 5 x 5 x 61 x 61 x 149

Step 4: Therefore, the least common multiple of 3721 and 3725 is 13860725.