Least Common Multiple of 3969 and 3975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3969 and 3975 the smallest integer that is 5258925 that is divisible by both numbers.

Least Common Multiple (LCM) of 3969 and 3975 is 5258925.

LCM(3969,3975) = 5258925

LCM of 3969 and 3975

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

LCM of:
and

Least Common Multiple of 3969 and 3975

LCM of 3969 and 3975 is 5258925

Least common multiple can be found by multiplying the highest exponent prime factors of 3969 and 3975. First we will calculate the prime factors of 3969 and 3975.

Prime Factorization of 3969


3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 3969 are 3,7. Prime factorization of 3969 in exponential form is:

3969 = 34×72

Prime Factorization of 3975


3 3975
5 1325
5 265
53 53
1

Prime factors of 3975 are 3, 5,53. Prime factorization of 3975 in exponential form is:

3975 = 31×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3969 and 3975.

LCM(3969,3975) = 34×52×72×531
LCM(3969,3975) = 5258925

Factors of 3969

List of positive integer factors of 3969 that divides 3969 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975

Least Common Multiple of 3969 and 3975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3969 and 3975, than apply into the LCM equation.

GCF(3969,3975) = 3
LCM(3969,3975) = ( 3969 × 3975) / 3
LCM(3969,3975) = 15776775 / 3
LCM(3969,3975) = 5258925

Properties of LCM 3969 and 3975

(i) The LCM of 3975 and 3969 is associative

LCM of 3969 and 3975 = LCM of 3975 and 3969

Related Least Common Multiples of 3969

Related Least Common Multiples of 3975

Frequently Asked Questions on LCM of 3969 and 3975

1. What is the LCM of 3969 and 3975?

Answer: LCM of 3969 and 3975 is 5258925.

2. What are the Factors of 3969?

Answer: Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. There are 15 integers that are factors of 3969. The greatest factor of 3969 is 3969.

3. What are the Factors of 3975?

Answer: Factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975. There are 12 integers that are factors of 3975. The greatest factor of 3975 is 3975.

4. How to Find the LCM of 3969 and 3975?

Answer:

Least Common Multiple of 3969 and 3975 = 5258925

Step 1: Find the prime factorization of 3969

3969 = 3 x 3 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 3975

3975 = 3 x 5 x 5 x 53

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

LCM = 5258925 = 3 x 3 x 3 x 3 x 5 x 5 x 7 x 7 x 53

Step 4: Therefore, the least common multiple of 3969 and 3975 is 5258925.