Least Common Multiple of 3968 and 3973

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 3973 the smallest integer that is 15764864 that is divisible by both numbers.

Least Common Multiple (LCM) of 3968 and 3973 is 15764864.

LCM(3968,3973) = 15764864

LCM of 3968 and 3973

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

LCM of:
and

Least Common Multiple of 3968 and 3973

LCM of 3968 and 3973 is 15764864

Least common multiple can be found by multiplying the highest exponent prime factors of 3968 and 3973. First we will calculate the prime factors of 3968 and 3973.

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 3973


29 3973
137 137
1

Prime factors of 3973 are 29,137. Prime factorization of 3973 in exponential form is:

3973 = 291×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3968 and 3973.

LCM(3968,3973) = 27×291×311×1371
LCM(3968,3973) = 15764864

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 3973

List of positive integer factors of 3973 that divides 3973 without a remainder.

1, 29, 137, 3973

Least Common Multiple of 3968 and 3973 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 3973, than apply into the LCM equation.

GCF(3968,3973) = 1
LCM(3968,3973) = ( 3968 × 3973) / 1
LCM(3968,3973) = 15764864 / 1
LCM(3968,3973) = 15764864

Properties of LCM 3968 and 3973

(i) The LCM of 3973 and 3968 is associative

LCM of 3968 and 3973 = LCM of 3973 and 3968

Related Least Common Multiples of 3968

Related Least Common Multiples of 3973

Frequently Asked Questions on LCM of 3968 and 3973

1. What is the LCM of 3968 and 3973?

Answer: LCM of 3968 and 3973 is 15764864.

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 3973?

Answer: Factors of 3973 are 1, 29, 137, 3973. There are 4 integers that are factors of 3973. The greatest factor of 3973 is 3973.

4. How to Find the LCM of 3968 and 3973?

Answer:

Least Common Multiple of 3968 and 3973 = 15764864

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 3973

3973 = 29 x 137

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

LCM = 15764864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29 x 31 x 137

Step 4: Therefore, the least common multiple of 3968 and 3973 is 15764864.