Least Common Multiple of 962 and 968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 962 and 968 the smallest integer that is 465608 that is divisible by both numbers.

Least Common Multiple (LCM) of 962 and 968 is 465608.

LCM(962,968) = 465608

LCM of 962 and 968

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

LCM of:
and

Least Common Multiple of 962 and 968

LCM of 962 and 968 is 465608

Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 968. First we will calculate the prime factors of 962 and 968.

Prime Factorization of 962


2 962
13 481
37 37
1

Prime factors of 962 are 2, 13,37. Prime factorization of 962 in exponential form is:

962 = 21×131×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 968.

LCM(962,968) = 23×112×131×371
LCM(962,968) = 465608

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

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

Least Common Multiple of 962 and 968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 962 and 968, than apply into the LCM equation.

GCF(962,968) = 2
LCM(962,968) = ( 962 × 968) / 2
LCM(962,968) = 931216 / 2
LCM(962,968) = 465608

Properties of LCM 962 and 968

(i) The LCM of 968 and 962 is associative

LCM of 962 and 968 = LCM of 968 and 962

Related Least Common Multiples of 962

Related Least Common Multiples of 968

Frequently Asked Questions on LCM of 962 and 968

1. What is the LCM of 962 and 968?

Answer: LCM of 962 and 968 is 465608.

2. What are the Factors of 962?

Answer: Factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962. There are 8 integers that are factors of 962. The greatest factor of 962 is 962.

3. 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.

4. How to Find the LCM of 962 and 968?

Answer:

Least Common Multiple of 962 and 968 = 465608

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

Step 2: Find the prime factorization of 968

968 = 2 x 2 x 2 x 11 x 11

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

LCM = 465608 = 2 x 2 x 2 x 11 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 962 and 968 is 465608.