Least Common Multiple of 968 and 975

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 975 the smallest integer that is 943800 that is divisible by both numbers.

Least Common Multiple (LCM) of 968 and 975 is 943800.

LCM(968,975) = 943800

LCM of 968 and 975

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

LCM of:
and

Least Common Multiple of 968 and 975

LCM of 968 and 975 is 943800

Least common multiple can be found by multiplying the highest exponent prime factors of 968 and 975. First we will calculate the prime factors of 968 and 975.

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 975


3 975
5 325
5 65
13 13
1

Prime factors of 975 are 3, 5,13. Prime factorization of 975 in exponential form is:

975 = 31×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 968 and 975.

LCM(968,975) = 23×31×52×112×131
LCM(968,975) = 943800

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 975

List of positive integer factors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Least Common Multiple of 968 and 975 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 975, than apply into the LCM equation.

GCF(968,975) = 1
LCM(968,975) = ( 968 × 975) / 1
LCM(968,975) = 943800 / 1
LCM(968,975) = 943800

Properties of LCM 968 and 975

(i) The LCM of 975 and 968 is associative

LCM of 968 and 975 = LCM of 975 and 968

Related Least Common Multiples of 968

Related Least Common Multiples of 975

Frequently Asked Questions on LCM of 968 and 975

1. What is the LCM of 968 and 975?

Answer: LCM of 968 and 975 is 943800.

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 975?

Answer: Factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975. There are 12 integers that are factors of 975. The greatest factor of 975 is 975.

4. How to Find the LCM of 968 and 975?

Answer:

Least Common Multiple of 968 and 975 = 943800

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 975

975 = 3 x 5 x 5 x 13

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

LCM = 943800 = 2 x 2 x 2 x 3 x 5 x 5 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 968 and 975 is 943800.