Least Common Multiple of 958 and 963

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 963 the smallest integer that is 922554 that is divisible by both numbers.

Least Common Multiple (LCM) of 958 and 963 is 922554.

LCM(958,963) = 922554

LCM of 958 and 963

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

LCM of:
and

Least Common Multiple of 958 and 963

LCM of 958 and 963 is 922554

Least common multiple can be found by multiplying the highest exponent prime factors of 958 and 963. First we will calculate the prime factors of 958 and 963.

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 963


3 963
3 321
107 107
1

Prime factors of 963 are 3,107. Prime factorization of 963 in exponential form is:

963 = 32×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 958 and 963.

LCM(958,963) = 21×32×1071×4791
LCM(958,963) = 922554

Factors of 958

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

1, 2, 479, 958

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Least Common Multiple of 958 and 963 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 963, than apply into the LCM equation.

GCF(958,963) = 1
LCM(958,963) = ( 958 × 963) / 1
LCM(958,963) = 922554 / 1
LCM(958,963) = 922554

Properties of LCM 958 and 963

(i) The LCM of 963 and 958 is associative

LCM of 958 and 963 = LCM of 963 and 958

Related Least Common Multiples of 958

Related Least Common Multiples of 963

Frequently Asked Questions on LCM of 958 and 963

1. What is the LCM of 958 and 963?

Answer: LCM of 958 and 963 is 922554.

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 963?

Answer: Factors of 963 are 1, 3, 9, 107, 321, 963. There are 6 integers that are factors of 963. The greatest factor of 963 is 963.

4. How to Find the LCM of 958 and 963?

Answer:

Least Common Multiple of 958 and 963 = 922554

Step 1: Find the prime factorization of 958

958 = 2 x 479

Step 2: Find the prime factorization of 963

963 = 3 x 3 x 107

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

LCM = 922554 = 2 x 3 x 3 x 107 x 479

Step 4: Therefore, the least common multiple of 958 and 963 is 922554.