Least Common Multiple of 962 and 963

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 963 the smallest integer that is 926406 that is divisible by both numbers.

Least Common Multiple (LCM) of 962 and 963 is 926406.

LCM(962,963) = 926406

LCM of 962 and 963

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

LCM of:
and

Least Common Multiple of 962 and 963

LCM of 962 and 963 is 926406

Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 963. First we will calculate the prime factors of 962 and 963.

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 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 963.

LCM(962,963) = 21×32×131×371×1071
LCM(962,963) = 926406

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 963

List of positive integer factors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Least Common Multiple of 962 and 963 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 963, than apply into the LCM equation.

GCF(962,963) = 1
LCM(962,963) = ( 962 × 963) / 1
LCM(962,963) = 926406 / 1
LCM(962,963) = 926406

Properties of LCM 962 and 963

(i) The LCM of 963 and 962 is associative

LCM of 962 and 963 = LCM of 963 and 962

Related Least Common Multiples of 962

Related Least Common Multiples of 963

Frequently Asked Questions on LCM of 962 and 963

1. What is the LCM of 962 and 963?

Answer: LCM of 962 and 963 is 926406.

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 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

4. How to Find the LCM of 962 and 963?

Answer:

Least Common Multiple of 962 and 963 = 926406

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

Step 2: Find the prime factorization of 963

963 = 3 x 3 x 107

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

LCM = 926406 = 2 x 3 x 3 x 13 x 37 x 107

Step 4: Therefore, the least common multiple of 962 and 963 is 926406.