Least Common Multiple of 3966 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 3966 and 3974 the smallest integer that is 7880442 that is divisible by both numbers.

Least Common Multiple (LCM) of 3966 and 3974 is 7880442.

LCM(3966,3974) = 7880442

LCM of 3966 and 3974

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

LCM of:
and

Least Common Multiple of 3966 and 3974

LCM of 3966 and 3974 is 7880442

Least common multiple can be found by multiplying the highest exponent prime factors of 3966 and 3974. First we will calculate the prime factors of 3966 and 3974.

Prime Factorization of 3966


2 3966
3 1983
661 661
1

Prime factors of 3966 are 2, 3,661. Prime factorization of 3966 in exponential form is:

3966 = 21×31×6611

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 3966 and 3974.

LCM(3966,3974) = 21×31×6611×19871
LCM(3966,3974) = 7880442

Factors of 3966

List of positive integer factors of 3966 that divides 3966 without a remainder.

1, 2, 3, 6, 661, 1322, 1983, 3966

Factors of 3974

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

1, 2, 1987, 3974

Least Common Multiple of 3966 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 3966 and 3974, than apply into the LCM equation.

GCF(3966,3974) = 2
LCM(3966,3974) = ( 3966 × 3974) / 2
LCM(3966,3974) = 15760884 / 2
LCM(3966,3974) = 7880442

Properties of LCM 3966 and 3974

(i) The LCM of 3974 and 3966 is associative

LCM of 3966 and 3974 = LCM of 3974 and 3966

Related Least Common Multiples of 3966

Related Least Common Multiples of 3974

Frequently Asked Questions on LCM of 3966 and 3974

1. What is the LCM of 3966 and 3974?

Answer: LCM of 3966 and 3974 is 7880442.

2. What are the Factors of 3966?

Answer: Factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966. There are 8 integers that are factors of 3966. The greatest factor of 3966 is 3966.

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 3966 and 3974?

Answer:

Least Common Multiple of 3966 and 3974 = 7880442

Step 1: Find the prime factorization of 3966

3966 = 2 x 3 x 661

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 = 7880442 = 2 x 3 x 661 x 1987

Step 4: Therefore, the least common multiple of 3966 and 3974 is 7880442.