Least Common Multiple of 968 and 973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 968 and 973 the smallest integer that is 941864 that is divisible by both numbers.

Least Common Multiple (LCM) of 968 and 973 is 941864.

LCM(968,973) = 941864

LCM of 968 and 973

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

LCM of:
and

Least Common Multiple of 968 and 973

LCM of 968 and 973 is 941864

Least common multiple can be found by multiplying the highest exponent prime factors of 968 and 973. First we will calculate the prime factors of 968 and 973.

Prime Factorization of 968


2 968
2 484
2 242
11 121
11 11
1

Prime factors of 968 are 2,11. Prime factorization of 968 in exponential form is:

968 = 23×112

Prime Factorization of 973


7 973
139 139
1

Prime factors of 973 are 7,139. Prime factorization of 973 in exponential form is:

973 = 71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 968 and 973.

LCM(968,973) = 23×71×112×1391
LCM(968,973) = 941864

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Least Common Multiple of 968 and 973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 968 and 973, than apply into the LCM equation.

GCF(968,973) = 1
LCM(968,973) = ( 968 × 973) / 1
LCM(968,973) = 941864 / 1
LCM(968,973) = 941864

Properties of LCM 968 and 973

(i) The LCM of 973 and 968 is associative

LCM of 968 and 973 = LCM of 973 and 968

Related Least Common Multiples of 968

Related Least Common Multiples of 973

Frequently Asked Questions on LCM of 968 and 973

1. What is the LCM of 968 and 973?

Answer: LCM of 968 and 973 is 941864.

2. What are the Factors of 968?

Answer: Factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968. There are 12 integers that are factors of 968. The greatest factor of 968 is 968.

3. What are the Factors of 973?

Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.

4. How to Find the LCM of 968 and 973?

Answer:

Least Common Multiple of 968 and 973 = 941864

Step 1: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 973

973 = 7 x 139

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

LCM = 941864 = 2 x 2 x 2 x 7 x 11 x 11 x 139

Step 4: Therefore, the least common multiple of 968 and 973 is 941864.