Least Common Multiple of 962 and 964

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 964 the smallest integer that is 463684 that is divisible by both numbers.

Least Common Multiple (LCM) of 962 and 964 is 463684.

LCM(962,964) = 463684

LCM of 962 and 964

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

LCM of:
and

Least Common Multiple of 962 and 964

LCM of 962 and 964 is 463684

Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 964. First we will calculate the prime factors of 962 and 964.

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 964


2 964
2 482
241 241
1

Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:

964 = 22×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 964.

LCM(962,964) = 22×131×371×2411
LCM(962,964) = 463684

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 964

List of positive integer factors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Least Common Multiple of 962 and 964 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 964, than apply into the LCM equation.

GCF(962,964) = 2
LCM(962,964) = ( 962 × 964) / 2
LCM(962,964) = 927368 / 2
LCM(962,964) = 463684

Properties of LCM 962 and 964

(i) The LCM of 964 and 962 is associative

LCM of 962 and 964 = LCM of 964 and 962

Related Least Common Multiples of 962

Related Least Common Multiples of 964

Frequently Asked Questions on LCM of 962 and 964

1. What is the LCM of 962 and 964?

Answer: LCM of 962 and 964 is 463684.

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 964?

Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.

4. How to Find the LCM of 962 and 964?

Answer:

Least Common Multiple of 962 and 964 = 463684

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

Step 2: Find the prime factorization of 964

964 = 2 x 2 x 241

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

LCM = 463684 = 2 x 2 x 13 x 37 x 241

Step 4: Therefore, the least common multiple of 962 and 964 is 463684.