Least Common Multiple of 968 and 972

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 972 the smallest integer that is 235224 that is divisible by both numbers.

Least Common Multiple (LCM) of 968 and 972 is 235224.

LCM(968,972) = 235224

LCM of 968 and 972

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

LCM of:
and

Least Common Multiple of 968 and 972

LCM of 968 and 972 is 235224

Least common multiple can be found by multiplying the highest exponent prime factors of 968 and 972. First we will calculate the prime factors of 968 and 972.

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 972


2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 972 are 2,3. Prime factorization of 972 in exponential form is:

972 = 22×35

Now multiplying the highest exponent prime factors to calculate the LCM of 968 and 972.

LCM(968,972) = 23×35×112
LCM(968,972) = 235224

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 972

List of positive integer factors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Least Common Multiple of 968 and 972 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 972, than apply into the LCM equation.

GCF(968,972) = 4
LCM(968,972) = ( 968 × 972) / 4
LCM(968,972) = 940896 / 4
LCM(968,972) = 235224

Properties of LCM 968 and 972

(i) The LCM of 972 and 968 is associative

LCM of 968 and 972 = LCM of 972 and 968

Related Least Common Multiples of 968

Related Least Common Multiples of 972

Frequently Asked Questions on LCM of 968 and 972

1. What is the LCM of 968 and 972?

Answer: LCM of 968 and 972 is 235224.

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 972?

Answer: Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972. There are 18 integers that are factors of 972. The greatest factor of 972 is 972.

4. How to Find the LCM of 968 and 972?

Answer:

Least Common Multiple of 968 and 972 = 235224

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 972

972 = 2 x 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 235224 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 11

Step 4: Therefore, the least common multiple of 968 and 972 is 235224.