Least Common Multiple of 968 and 974

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 974 the smallest integer that is 471416 that is divisible by both numbers.

Least Common Multiple (LCM) of 968 and 974 is 471416.

LCM(968,974) = 471416

LCM of 968 and 974

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

LCM of:
and

Least Common Multiple of 968 and 974

LCM of 968 and 974 is 471416

Least common multiple can be found by multiplying the highest exponent prime factors of 968 and 974. First we will calculate the prime factors of 968 and 974.

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 974


2 974
487 487
1

Prime factors of 974 are 2,487. Prime factorization of 974 in exponential form is:

974 = 21×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 968 and 974.

LCM(968,974) = 23×112×4871
LCM(968,974) = 471416

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 974

List of positive integer factors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Least Common Multiple of 968 and 974 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 974, than apply into the LCM equation.

GCF(968,974) = 2
LCM(968,974) = ( 968 × 974) / 2
LCM(968,974) = 942832 / 2
LCM(968,974) = 471416

Properties of LCM 968 and 974

(i) The LCM of 974 and 968 is associative

LCM of 968 and 974 = LCM of 974 and 968

Related Least Common Multiples of 968

Related Least Common Multiples of 974

Frequently Asked Questions on LCM of 968 and 974

1. What is the LCM of 968 and 974?

Answer: LCM of 968 and 974 is 471416.

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 974?

Answer: Factors of 974 are 1, 2, 487, 974. There are 4 integers that are factors of 974. The greatest factor of 974 is 974.

4. How to Find the LCM of 968 and 974?

Answer:

Least Common Multiple of 968 and 974 = 471416

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 974

974 = 2 x 487

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

LCM = 471416 = 2 x 2 x 2 x 11 x 11 x 487

Step 4: Therefore, the least common multiple of 968 and 974 is 471416.