Least Common Multiple of 3725 and 3733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3725 and 3733 the smallest integer that is 13905425 that is divisible by both numbers.

Least Common Multiple (LCM) of 3725 and 3733 is 13905425.

LCM(3725,3733) = 13905425

LCM of 3725 and 3733

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

LCM of:
and

Least Common Multiple of 3725 and 3733

LCM of 3725 and 3733 is 13905425

Least common multiple can be found by multiplying the highest exponent prime factors of 3725 and 3733. First we will calculate the prime factors of 3725 and 3733.

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

Prime Factorization of 3733


3733 3733
1

Prime factors of 3733 are 3733. Prime factorization of 3733 in exponential form is:

3733 = 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 3725 and 3733.

LCM(3725,3733) = 52×1491×37331
LCM(3725,3733) = 13905425

Factors of 3725

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

1, 5, 25, 149, 745, 3725

Factors of 3733

List of positive integer factors of 3733 that divides 3733 without a remainder.

1, 3733

Least Common Multiple of 3725 and 3733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3725 and 3733, than apply into the LCM equation.

GCF(3725,3733) = 1
LCM(3725,3733) = ( 3725 × 3733) / 1
LCM(3725,3733) = 13905425 / 1
LCM(3725,3733) = 13905425

Properties of LCM 3725 and 3733

(i) The LCM of 3733 and 3725 is associative

LCM of 3725 and 3733 = LCM of 3733 and 3725

Related Least Common Multiples of 3725

Related Least Common Multiples of 3733

Frequently Asked Questions on LCM of 3725 and 3733

1. What is the LCM of 3725 and 3733?

Answer: LCM of 3725 and 3733 is 13905425.

2. 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.

3. What are the Factors of 3733?

Answer: Factors of 3733 are 1, 3733. There are 2 integers that are factors of 3733. The greatest factor of 3733 is 3733.

4. How to Find the LCM of 3725 and 3733?

Answer:

Least Common Multiple of 3725 and 3733 = 13905425

Step 1: Find the prime factorization of 3725

3725 = 5 x 5 x 149

Step 2: Find the prime factorization of 3733

3733 = 3733

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

LCM = 13905425 = 5 x 5 x 149 x 3733

Step 4: Therefore, the least common multiple of 3725 and 3733 is 13905425.