Least Common Multiple of 3720 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 3720 and 3725 the smallest integer that is 2771400 that is divisible by both numbers.

Least Common Multiple (LCM) of 3720 and 3725 is 2771400.

LCM(3720,3725) = 2771400

LCM of 3720 and 3725

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

LCM of:
and

Least Common Multiple of 3720 and 3725

LCM of 3720 and 3725 is 2771400

Least common multiple can be found by multiplying the highest exponent prime factors of 3720 and 3725. First we will calculate the prime factors of 3720 and 3725.

Prime Factorization of 3720


2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 3720 are 2, 3, 5,31. Prime factorization of 3720 in exponential form is:

3720 = 23×31×51×311

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 3720 and 3725.

LCM(3720,3725) = 23×31×52×311×1491
LCM(3720,3725) = 2771400

Factors of 3720

List of positive integer factors of 3720 that divides 3720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720

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 3720 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 3720 and 3725, than apply into the LCM equation.

GCF(3720,3725) = 5
LCM(3720,3725) = ( 3720 × 3725) / 5
LCM(3720,3725) = 13857000 / 5
LCM(3720,3725) = 2771400

Properties of LCM 3720 and 3725

(i) The LCM of 3725 and 3720 is associative

LCM of 3720 and 3725 = LCM of 3725 and 3720

Related Least Common Multiples of 3720

Related Least Common Multiples of 3725

Frequently Asked Questions on LCM of 3720 and 3725

1. What is the LCM of 3720 and 3725?

Answer: LCM of 3720 and 3725 is 2771400.

2. What are the Factors of 3720?

Answer: Factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720. There are 32 integers that are factors of 3720. The greatest factor of 3720 is 3720.

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 3720 and 3725?

Answer:

Least Common Multiple of 3720 and 3725 = 2771400

Step 1: Find the prime factorization of 3720

3720 = 2 x 2 x 2 x 3 x 5 x 31

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 = 2771400 = 2 x 2 x 2 x 3 x 5 x 5 x 31 x 149

Step 4: Therefore, the least common multiple of 3720 and 3725 is 2771400.