Least Common Multiple of 956 and 962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 956 and 962 the smallest integer that is 459836 that is divisible by both numbers.

Least Common Multiple (LCM) of 956 and 962 is 459836.

LCM(956,962) = 459836

LCM of 956 and 962

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

LCM of:
and

Least Common Multiple of 956 and 962

LCM of 956 and 962 is 459836

Least common multiple can be found by multiplying the highest exponent prime factors of 956 and 962. First we will calculate the prime factors of 956 and 962.

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 956 and 962.

LCM(956,962) = 22×131×371×2391
LCM(956,962) = 459836

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Factors of 962

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

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

Least Common Multiple of 956 and 962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 956 and 962, than apply into the LCM equation.

GCF(956,962) = 2
LCM(956,962) = ( 956 × 962) / 2
LCM(956,962) = 919672 / 2
LCM(956,962) = 459836

Properties of LCM 956 and 962

(i) The LCM of 962 and 956 is associative

LCM of 956 and 962 = LCM of 962 and 956

Related Least Common Multiples of 956

Related Least Common Multiples of 962

Frequently Asked Questions on LCM of 956 and 962

1. What is the LCM of 956 and 962?

Answer: LCM of 956 and 962 is 459836.

2. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

3. 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.

4. How to Find the LCM of 956 and 962?

Answer:

Least Common Multiple of 956 and 962 = 459836

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

Step 2: Find the prime factorization of 962

962 = 2 x 13 x 37

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

LCM = 459836 = 2 x 2 x 13 x 37 x 239

Step 4: Therefore, the least common multiple of 956 and 962 is 459836.