Least Common Multiple of 962 and 965

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 965 the smallest integer that is 928330 that is divisible by both numbers.

Least Common Multiple (LCM) of 962 and 965 is 928330.

LCM(962,965) = 928330

LCM of 962 and 965

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

LCM of:
and

Least Common Multiple of 962 and 965

LCM of 962 and 965 is 928330

Least common multiple can be found by multiplying the highest exponent prime factors of 962 and 965. First we will calculate the prime factors of 962 and 965.

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 965


5 965
193 193
1

Prime factors of 965 are 5,193. Prime factorization of 965 in exponential form is:

965 = 51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 962 and 965.

LCM(962,965) = 21×51×131×371×1931
LCM(962,965) = 928330

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 965

List of positive integer factors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Least Common Multiple of 962 and 965 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 965, than apply into the LCM equation.

GCF(962,965) = 1
LCM(962,965) = ( 962 × 965) / 1
LCM(962,965) = 928330 / 1
LCM(962,965) = 928330

Properties of LCM 962 and 965

(i) The LCM of 965 and 962 is associative

LCM of 962 and 965 = LCM of 965 and 962

Related Least Common Multiples of 962

Related Least Common Multiples of 965

Frequently Asked Questions on LCM of 962 and 965

1. What is the LCM of 962 and 965?

Answer: LCM of 962 and 965 is 928330.

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 965?

Answer: Factors of 965 are 1, 5, 193, 965. There are 4 integers that are factors of 965. The greatest factor of 965 is 965.

4. How to Find the LCM of 962 and 965?

Answer:

Least Common Multiple of 962 and 965 = 928330

Step 1: Find the prime factorization of 962

962 = 2 x 13 x 37

Step 2: Find the prime factorization of 965

965 = 5 x 193

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

LCM = 928330 = 2 x 5 x 13 x 37 x 193

Step 4: Therefore, the least common multiple of 962 and 965 is 928330.