Least Common Multiple of 950 and 954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 950 and 954 the smallest integer that is 453150 that is divisible by both numbers.

Least Common Multiple (LCM) of 950 and 954 is 453150.

LCM(950,954) = 453150

LCM of 950 and 954

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

LCM of:
and

Least Common Multiple of 950 and 954

LCM of 950 and 954 is 453150

Least common multiple can be found by multiplying the highest exponent prime factors of 950 and 954. First we will calculate the prime factors of 950 and 954.

Prime Factorization of 950


2 950
5 475
5 95
19 19
1

Prime factors of 950 are 2, 5,19. Prime factorization of 950 in exponential form is:

950 = 21×52×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 950 and 954.

LCM(950,954) = 21×32×52×191×531
LCM(950,954) = 453150

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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

Least Common Multiple of 950 and 954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 950 and 954, than apply into the LCM equation.

GCF(950,954) = 2
LCM(950,954) = ( 950 × 954) / 2
LCM(950,954) = 906300 / 2
LCM(950,954) = 453150

Properties of LCM 950 and 954

(i) The LCM of 954 and 950 is associative

LCM of 950 and 954 = LCM of 954 and 950

Related Least Common Multiples of 950

Related Least Common Multiples of 954

Frequently Asked Questions on LCM of 950 and 954

1. What is the LCM of 950 and 954?

Answer: LCM of 950 and 954 is 453150.

2. What are the Factors of 950?

Answer: Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. There are 12 integers that are factors of 950. The greatest factor of 950 is 950.

3. 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.

4. How to Find the LCM of 950 and 954?

Answer:

Least Common Multiple of 950 and 954 = 453150

Step 1: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 954

954 = 2 x 3 x 3 x 53

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

LCM = 453150 = 2 x 3 x 3 x 5 x 5 x 19 x 53

Step 4: Therefore, the least common multiple of 950 and 954 is 453150.