Least Common Multiple of 958 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 958 and 961 the smallest integer that is 920638 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 961 is 920638.

LCM(958,961) = 920638

LCM of 958 and 961

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

LCM of:
and

Least Common Multiple of 958 and 961

LCM of 958 and 961 is 920638

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 961. First we will calculate the prime factors of 958 and 961.

Prime Factorization of 958


2 958
479 479
1

Prime factors of 958 are 2,479. Prime factorization of 958 in exponential form is:

958 = 21×4791

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 958 and 961.

LCM(958,961) = 21×312×4791
LCM(958,961) = 920638

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Factors of 961

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

1, 31, 961

Least Common Multiple of 958 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 958 and 961, than apply into the LCM equation.

GCF(958,961) = 1
LCM(958,961) = ( 958 × 961) / 1
LCM(958,961) = 920638 / 1
LCM(958,961) = 920638

Properties of LCM 958 and 961

(i) The LCM of 961 and 958 is associative

LCM of 958 and 961 = LCM of 961 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 961

Frequently Asked Questions on LCM of 958 and 961

1. What is the LCM of 958 and 961?

Answer: LCM of 958 and 961 is 920638.

2. What are the Factors of 958?

Answer: Factors of 958 are 1, 2, 479, 958. There are 4 integers that are factors of 958. The greatest factor of 958 is 958.

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 958 and 961?

Answer:

Least Common Multiple of 958 and 961 = 920638

Step 1: Find the prime factorization of 958

958 = 2 x 479

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 = 920638 = 2 x 31 x 31 x 479

Step 4: Therefore, the least common multiple of 958 and 961 is 920638.