Least Common Multiple of 3964 and 3968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3964 and 3968 the smallest integer that is 3932288 that is divisible by both numbers.

Least Common Multiple (LCM) of 3964 and 3968 is 3932288.

LCM(3964,3968) = 3932288

LCM of 3964 and 3968

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

LCM of:
and

Least Common Multiple of 3964 and 3968

LCM of 3964 and 3968 is 3932288

Least common multiple can be found by multiplying the highest exponent prime factors of 3964 and 3968. First we will calculate the prime factors of 3964 and 3968.

Prime Factorization of 3964


2 3964
2 1982
991 991
1

Prime factors of 3964 are 2,991. Prime factorization of 3964 in exponential form is:

3964 = 22×9911

Prime Factorization of 3968


2 3968
2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 3968 are 2,31. Prime factorization of 3968 in exponential form is:

3968 = 27×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3964 and 3968.

LCM(3964,3968) = 27×311×9911
LCM(3964,3968) = 3932288

Factors of 3964

List of positive integer factors of 3964 that divides 3964 without a remainder.

1, 2, 4, 991, 1982, 3964

Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968

Least Common Multiple of 3964 and 3968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3964 and 3968, than apply into the LCM equation.

GCF(3964,3968) = 4
LCM(3964,3968) = ( 3964 × 3968) / 4
LCM(3964,3968) = 15729152 / 4
LCM(3964,3968) = 3932288

Properties of LCM 3964 and 3968

(i) The LCM of 3968 and 3964 is associative

LCM of 3964 and 3968 = LCM of 3968 and 3964

Related Least Common Multiples of 3964

Related Least Common Multiples of 3968

Frequently Asked Questions on LCM of 3964 and 3968

1. What is the LCM of 3964 and 3968?

Answer: LCM of 3964 and 3968 is 3932288.

2. What are the Factors of 3964?

Answer: Factors of 3964 are 1, 2, 4, 991, 1982, 3964. There are 6 integers that are factors of 3964. The greatest factor of 3964 is 3964.

3. What are the Factors of 3968?

Answer: Factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968. There are 16 integers that are factors of 3968. The greatest factor of 3968 is 3968.

4. How to Find the LCM of 3964 and 3968?

Answer:

Least Common Multiple of 3964 and 3968 = 3932288

Step 1: Find the prime factorization of 3964

3964 = 2 x 2 x 991

Step 2: Find the prime factorization of 3968

3968 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 3932288 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31 x 991

Step 4: Therefore, the least common multiple of 3964 and 3968 is 3932288.