Least Common Multiple of 3968 and 3970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3968 and 3970 the smallest integer that is 7876480 that is divisible by both numbers.

Least Common Multiple (LCM) of 3968 and 3970 is 7876480.

LCM(3968,3970) = 7876480

LCM of 3968 and 3970

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

LCM of:
and

Least Common Multiple of 3968 and 3970

LCM of 3968 and 3970 is 7876480

Least common multiple can be found by multiplying the highest exponent prime factors of 3968 and 3970. First we will calculate the prime factors of 3968 and 3970.

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

Prime Factorization of 3970


2 3970
5 1985
397 397
1

Prime factors of 3970 are 2, 5,397. Prime factorization of 3970 in exponential form is:

3970 = 21×51×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 3968 and 3970.

LCM(3968,3970) = 27×51×311×3971
LCM(3968,3970) = 7876480

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

Factors of 3970

List of positive integer factors of 3970 that divides 3970 without a remainder.

1, 2, 5, 10, 397, 794, 1985, 3970

Least Common Multiple of 3968 and 3970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3968 and 3970, than apply into the LCM equation.

GCF(3968,3970) = 2
LCM(3968,3970) = ( 3968 × 3970) / 2
LCM(3968,3970) = 15752960 / 2
LCM(3968,3970) = 7876480

Properties of LCM 3968 and 3970

(i) The LCM of 3970 and 3968 is associative

LCM of 3968 and 3970 = LCM of 3970 and 3968

Related Least Common Multiples of 3968

Related Least Common Multiples of 3970

Frequently Asked Questions on LCM of 3968 and 3970

1. What is the LCM of 3968 and 3970?

Answer: LCM of 3968 and 3970 is 7876480.

2. 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.

3. What are the Factors of 3970?

Answer: Factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970. There are 8 integers that are factors of 3970. The greatest factor of 3970 is 3970.

4. How to Find the LCM of 3968 and 3970?

Answer:

Least Common Multiple of 3968 and 3970 = 7876480

Step 1: Find the prime factorization of 3968

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

Step 2: Find the prime factorization of 3970

3970 = 2 x 5 x 397

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

LCM = 7876480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31 x 397

Step 4: Therefore, the least common multiple of 3968 and 3970 is 7876480.