Least Common Multiple of 3896 and 3904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3896 and 3904 the smallest integer that is 1901248 that is divisible by both numbers.

Least Common Multiple (LCM) of 3896 and 3904 is 1901248.

LCM(3896,3904) = 1901248

LCM of 3896 and 3904

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

LCM of:
and

Least Common Multiple of 3896 and 3904

LCM of 3896 and 3904 is 1901248

Least common multiple can be found by multiplying the highest exponent prime factors of 3896 and 3904. First we will calculate the prime factors of 3896 and 3904.

Prime Factorization of 3896


2 3896
2 1948
2 974
487 487
1

Prime factors of 3896 are 2,487. Prime factorization of 3896 in exponential form is:

3896 = 23×4871

Prime Factorization of 3904


2 3904
2 1952
2 976
2 488
2 244
2 122
61 61
1

Prime factors of 3904 are 2,61. Prime factorization of 3904 in exponential form is:

3904 = 26×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3896 and 3904.

LCM(3896,3904) = 26×611×4871
LCM(3896,3904) = 1901248

Factors of 3896

List of positive integer factors of 3896 that divides 3896 without a remainder.

1, 2, 4, 8, 487, 974, 1948, 3896

Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904

Least Common Multiple of 3896 and 3904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3896 and 3904, than apply into the LCM equation.

GCF(3896,3904) = 8
LCM(3896,3904) = ( 3896 × 3904) / 8
LCM(3896,3904) = 15209984 / 8
LCM(3896,3904) = 1901248

Properties of LCM 3896 and 3904

(i) The LCM of 3904 and 3896 is associative

LCM of 3896 and 3904 = LCM of 3904 and 3896

Related Least Common Multiples of 3896

Related Least Common Multiples of 3904

Frequently Asked Questions on LCM of 3896 and 3904

1. What is the LCM of 3896 and 3904?

Answer: LCM of 3896 and 3904 is 1901248.

2. What are the Factors of 3896?

Answer: Factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896. There are 8 integers that are factors of 3896. The greatest factor of 3896 is 3896.

3. What are the Factors of 3904?

Answer: Factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904. There are 14 integers that are factors of 3904. The greatest factor of 3904 is 3904.

4. How to Find the LCM of 3896 and 3904?

Answer:

Least Common Multiple of 3896 and 3904 = 1901248

Step 1: Find the prime factorization of 3896

3896 = 2 x 2 x 2 x 487

Step 2: Find the prime factorization of 3904

3904 = 2 x 2 x 2 x 2 x 2 x 2 x 61

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

LCM = 1901248 = 2 x 2 x 2 x 2 x 2 x 2 x 61 x 487

Step 4: Therefore, the least common multiple of 3896 and 3904 is 1901248.