Least Common Multiple of 953 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 953 and 961 the smallest integer that is 915833 that is divisible by both numbers.

Least Common Multiple (LCM) of 953 and 961 is 915833.

LCM(953,961) = 915833

LCM of 953 and 961

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

LCM of:
and

Least Common Multiple of 953 and 961

LCM of 953 and 961 is 915833

Least common multiple can be found by multiplying the highest exponent prime factors of 953 and 961. First we will calculate the prime factors of 953 and 961.

Prime Factorization of 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

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 953 and 961.

LCM(953,961) = 312×9531
LCM(953,961) = 915833

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1, 953

Factors of 961

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

1, 31, 961

Least Common Multiple of 953 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 953 and 961, than apply into the LCM equation.

GCF(953,961) = 1
LCM(953,961) = ( 953 × 961) / 1
LCM(953,961) = 915833 / 1
LCM(953,961) = 915833

Properties of LCM 953 and 961

(i) The LCM of 961 and 953 is associative

LCM of 953 and 961 = LCM of 961 and 953

Related Least Common Multiples of 953

Related Least Common Multiples of 961

Frequently Asked Questions on LCM of 953 and 961

1. What is the LCM of 953 and 961?

Answer: LCM of 953 and 961 is 915833.

2. What are the Factors of 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

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 953 and 961?

Answer:

Least Common Multiple of 953 and 961 = 915833

Step 1: Find the prime factorization of 953

953 = 953

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 = 915833 = 31 x 31 x 953

Step 4: Therefore, the least common multiple of 953 and 961 is 915833.