Least Common Multiple of 3725 and 3730

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 3730 the smallest integer that is 2778850 that is divisible by both numbers.

Least Common Multiple (LCM) of 3725 and 3730 is 2778850.

LCM(3725,3730) = 2778850

LCM of 3725 and 3730

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

LCM of:
and

Least Common Multiple of 3725 and 3730

LCM of 3725 and 3730 is 2778850

Least common multiple can be found by multiplying the highest exponent prime factors of 3725 and 3730. First we will calculate the prime factors of 3725 and 3730.

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 3730


2 3730
5 1865
373 373
1

Prime factors of 3730 are 2, 5,373. Prime factorization of 3730 in exponential form is:

3730 = 21×51×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 3725 and 3730.

LCM(3725,3730) = 21×52×1491×3731
LCM(3725,3730) = 2778850

Factors of 3725

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

1, 5, 25, 149, 745, 3725

Factors of 3730

List of positive integer factors of 3730 that divides 3730 without a remainder.

1, 2, 5, 10, 373, 746, 1865, 3730

Least Common Multiple of 3725 and 3730 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 3730, than apply into the LCM equation.

GCF(3725,3730) = 5
LCM(3725,3730) = ( 3725 × 3730) / 5
LCM(3725,3730) = 13894250 / 5
LCM(3725,3730) = 2778850

Properties of LCM 3725 and 3730

(i) The LCM of 3730 and 3725 is associative

LCM of 3725 and 3730 = LCM of 3730 and 3725

Related Least Common Multiples of 3725

Related Least Common Multiples of 3730

Frequently Asked Questions on LCM of 3725 and 3730

1. What is the LCM of 3725 and 3730?

Answer: LCM of 3725 and 3730 is 2778850.

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 3730?

Answer: Factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730. There are 8 integers that are factors of 3730. The greatest factor of 3730 is 3730.

4. How to Find the LCM of 3725 and 3730?

Answer:

Least Common Multiple of 3725 and 3730 = 2778850

Step 1: Find the prime factorization of 3725

3725 = 5 x 5 x 149

Step 2: Find the prime factorization of 3730

3730 = 2 x 5 x 373

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

LCM = 2778850 = 2 x 5 x 5 x 149 x 373

Step 4: Therefore, the least common multiple of 3725 and 3730 is 2778850.