Least Common Multiple of 954 and 961

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 961 the smallest integer that is 916794 that is divisible by both numbers.

Least Common Multiple (LCM) of 954 and 961 is 916794.

LCM(954,961) = 916794

LCM of 954 and 961

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

LCM of:
and

Least Common Multiple of 954 and 961

LCM of 954 and 961 is 916794

Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 961. First we will calculate the prime factors of 954 and 961.

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 961


31 961
31 31
1

Prime factors of 961 are 31. Prime factorization of 961 in exponential form is:

961 = 312

Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 961.

LCM(954,961) = 21×32×312×531
LCM(954,961) = 916794

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 961

List of positive integer factors of 961 that divides 961 without a remainder.

1, 31, 961

Least Common Multiple of 954 and 961 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 961, than apply into the LCM equation.

GCF(954,961) = 1
LCM(954,961) = ( 954 × 961) / 1
LCM(954,961) = 916794 / 1
LCM(954,961) = 916794

Properties of LCM 954 and 961

(i) The LCM of 961 and 954 is associative

LCM of 954 and 961 = LCM of 961 and 954

Related Least Common Multiples of 954

Related Least Common Multiples of 961

Frequently Asked Questions on LCM of 954 and 961

1. What is the LCM of 954 and 961?

Answer: LCM of 954 and 961 is 916794.

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 961?

Answer: Factors of 961 are 1, 31, 961. There are 3 integers that are factors of 961. The greatest factor of 961 is 961.

4. How to Find the LCM of 954 and 961?

Answer:

Least Common Multiple of 954 and 961 = 916794

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 961

961 = 31 x 31

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

LCM = 916794 = 2 x 3 x 3 x 31 x 31 x 53

Step 4: Therefore, the least common multiple of 954 and 961 is 916794.