Least Common Multiple of 954 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 954 and 962 the smallest integer that is 458874 that is divisible by both numbers.

Least Common Multiple (LCM) of 954 and 962 is 458874.

LCM(954,962) = 458874

LCM of 954 and 962

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

LCM of:
and

Least Common Multiple of 954 and 962

LCM of 954 and 962 is 458874

Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 962. First we will calculate the prime factors of 954 and 962.

Prime Factorization of 954


2 954
3 477
3 159
53 53
1

Prime factors of 954 are 2, 3,53. Prime factorization of 954 in exponential form is:

954 = 21×32×531

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 954 and 962.

LCM(954,962) = 21×32×131×371×531
LCM(954,962) = 458874

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 954 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 954 and 962, than apply into the LCM equation.

GCF(954,962) = 2
LCM(954,962) = ( 954 × 962) / 2
LCM(954,962) = 917748 / 2
LCM(954,962) = 458874

Properties of LCM 954 and 962

(i) The LCM of 962 and 954 is associative

LCM of 954 and 962 = LCM of 962 and 954

Related Least Common Multiples of 954

Related Least Common Multiples of 962

Frequently Asked Questions on LCM of 954 and 962

1. What is the LCM of 954 and 962?

Answer: LCM of 954 and 962 is 458874.

2. What are the Factors of 954?

Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.

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 954 and 962?

Answer:

Least Common Multiple of 954 and 962 = 458874

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

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 = 458874 = 2 x 3 x 3 x 13 x 37 x 53

Step 4: Therefore, the least common multiple of 954 and 962 is 458874.