Least Common Multiple of 3728 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 3728 and 3730 the smallest integer that is 6952720 that is divisible by both numbers.

Least Common Multiple (LCM) of 3728 and 3730 is 6952720.

LCM(3728,3730) = 6952720

LCM of 3728 and 3730

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

LCM of:
and

Least Common Multiple of 3728 and 3730

LCM of 3728 and 3730 is 6952720

Least common multiple can be found by multiplying the highest exponent prime factors of 3728 and 3730. First we will calculate the prime factors of 3728 and 3730.

Prime Factorization of 3728


2 3728
2 1864
2 932
2 466
233 233
1

Prime factors of 3728 are 2,233. Prime factorization of 3728 in exponential form is:

3728 = 24×2331

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 3728 and 3730.

LCM(3728,3730) = 24×51×2331×3731
LCM(3728,3730) = 6952720

Factors of 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728

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 3728 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 3728 and 3730, than apply into the LCM equation.

GCF(3728,3730) = 2
LCM(3728,3730) = ( 3728 × 3730) / 2
LCM(3728,3730) = 13905440 / 2
LCM(3728,3730) = 6952720

Properties of LCM 3728 and 3730

(i) The LCM of 3730 and 3728 is associative

LCM of 3728 and 3730 = LCM of 3730 and 3728

Related Least Common Multiples of 3728

Related Least Common Multiples of 3730

Frequently Asked Questions on LCM of 3728 and 3730

1. What is the LCM of 3728 and 3730?

Answer: LCM of 3728 and 3730 is 6952720.

2. What are the Factors of 3728?

Answer: Factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728. There are 10 integers that are factors of 3728. The greatest factor of 3728 is 3728.

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 3728 and 3730?

Answer:

Least Common Multiple of 3728 and 3730 = 6952720

Step 1: Find the prime factorization of 3728

3728 = 2 x 2 x 2 x 2 x 233

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 = 6952720 = 2 x 2 x 2 x 2 x 5 x 233 x 373

Step 4: Therefore, the least common multiple of 3728 and 3730 is 6952720.