Least Common Multiple of 968 and 970

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 970 the smallest integer that is 469480 that is divisible by both numbers.

Least Common Multiple (LCM) of 968 and 970 is 469480.

LCM(968,970) = 469480

LCM of 968 and 970

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

LCM of:
and

Least Common Multiple of 968 and 970

LCM of 968 and 970 is 469480

Least common multiple can be found by multiplying the highest exponent prime factors of 968 and 970. First we will calculate the prime factors of 968 and 970.

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 970


2 970
5 485
97 97
1

Prime factors of 970 are 2, 5,97. Prime factorization of 970 in exponential form is:

970 = 21×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 968 and 970.

LCM(968,970) = 23×51×112×971
LCM(968,970) = 469480

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 970

List of positive integer factors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Least Common Multiple of 968 and 970 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 970, than apply into the LCM equation.

GCF(968,970) = 2
LCM(968,970) = ( 968 × 970) / 2
LCM(968,970) = 938960 / 2
LCM(968,970) = 469480

Properties of LCM 968 and 970

(i) The LCM of 970 and 968 is associative

LCM of 968 and 970 = LCM of 970 and 968

Related Least Common Multiples of 968

Related Least Common Multiples of 970

Frequently Asked Questions on LCM of 968 and 970

1. What is the LCM of 968 and 970?

Answer: LCM of 968 and 970 is 469480.

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 970?

Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.

4. How to Find the LCM of 968 and 970?

Answer:

Least Common Multiple of 968 and 970 = 469480

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 970

970 = 2 x 5 x 97

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

LCM = 469480 = 2 x 2 x 2 x 5 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 968 and 970 is 469480.