Least Common Multiple of 3969 and 3974

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 3974 the smallest integer that is 15772806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3969 and 3974 is 15772806.

LCM(3969,3974) = 15772806

LCM of 3969 and 3974

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

LCM of:
and

Least Common Multiple of 3969 and 3974

LCM of 3969 and 3974 is 15772806

Least common multiple can be found by multiplying the highest exponent prime factors of 3969 and 3974. First we will calculate the prime factors of 3969 and 3974.

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 3974


2 3974
1987 1987
1

Prime factors of 3974 are 2,1987. Prime factorization of 3974 in exponential form is:

3974 = 21×19871

Now multiplying the highest exponent prime factors to calculate the LCM of 3969 and 3974.

LCM(3969,3974) = 21×34×72×19871
LCM(3969,3974) = 15772806

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 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1, 2, 1987, 3974

Least Common Multiple of 3969 and 3974 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 3974, than apply into the LCM equation.

GCF(3969,3974) = 1
LCM(3969,3974) = ( 3969 × 3974) / 1
LCM(3969,3974) = 15772806 / 1
LCM(3969,3974) = 15772806

Properties of LCM 3969 and 3974

(i) The LCM of 3974 and 3969 is associative

LCM of 3969 and 3974 = LCM of 3974 and 3969

Related Least Common Multiples of 3969

Related Least Common Multiples of 3974

Frequently Asked Questions on LCM of 3969 and 3974

1. What is the LCM of 3969 and 3974?

Answer: LCM of 3969 and 3974 is 15772806.

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 3974?

Answer: Factors of 3974 are 1, 2, 1987, 3974. There are 4 integers that are factors of 3974. The greatest factor of 3974 is 3974.

4. How to Find the LCM of 3969 and 3974?

Answer:

Least Common Multiple of 3969 and 3974 = 15772806

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 3974

3974 = 2 x 1987

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

LCM = 15772806 = 2 x 3 x 3 x 3 x 3 x 7 x 7 x 1987

Step 4: Therefore, the least common multiple of 3969 and 3974 is 15772806.