Least Common Multiple of 954 and 958

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 958 the smallest integer that is 456966 that is divisible by both numbers.

Least Common Multiple (LCM) of 954 and 958 is 456966.

LCM(954,958) = 456966

LCM of 954 and 958

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

LCM of:
and

Least Common Multiple of 954 and 958

LCM of 954 and 958 is 456966

Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 958. First we will calculate the prime factors of 954 and 958.

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 958


2 958
479 479
1

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

958 = 21×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 958.

LCM(954,958) = 21×32×531×4791
LCM(954,958) = 456966

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 958

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

1, 2, 479, 958

Least Common Multiple of 954 and 958 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 958, than apply into the LCM equation.

GCF(954,958) = 2
LCM(954,958) = ( 954 × 958) / 2
LCM(954,958) = 913932 / 2
LCM(954,958) = 456966

Properties of LCM 954 and 958

(i) The LCM of 958 and 954 is associative

LCM of 954 and 958 = LCM of 958 and 954

Related Least Common Multiples of 954

Related Least Common Multiples of 958

Frequently Asked Questions on LCM of 954 and 958

1. What is the LCM of 954 and 958?

Answer: LCM of 954 and 958 is 456966.

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 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.

4. How to Find the LCM of 954 and 958?

Answer:

Least Common Multiple of 954 and 958 = 456966

Step 1: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 958

958 = 2 x 479

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

LCM = 456966 = 2 x 3 x 3 x 53 x 479

Step 4: Therefore, the least common multiple of 954 and 958 is 456966.