Least Common Multiple of 950 and 955

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 955 the smallest integer that is 181450 that is divisible by both numbers.

Least Common Multiple (LCM) of 950 and 955 is 181450.

LCM(950,955) = 181450

LCM of 950 and 955

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

LCM of:
and

Least Common Multiple of 950 and 955

LCM of 950 and 955 is 181450

Least common multiple can be found by multiplying the highest exponent prime factors of 950 and 955. First we will calculate the prime factors of 950 and 955.

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 955


5 955
191 191
1

Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:

955 = 51×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 950 and 955.

LCM(950,955) = 21×52×191×1911
LCM(950,955) = 181450

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 955

List of positive integer factors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Least Common Multiple of 950 and 955 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 955, than apply into the LCM equation.

GCF(950,955) = 5
LCM(950,955) = ( 950 × 955) / 5
LCM(950,955) = 907250 / 5
LCM(950,955) = 181450

Properties of LCM 950 and 955

(i) The LCM of 955 and 950 is associative

LCM of 950 and 955 = LCM of 955 and 950

Related Least Common Multiples of 950

Related Least Common Multiples of 955

Frequently Asked Questions on LCM of 950 and 955

1. What is the LCM of 950 and 955?

Answer: LCM of 950 and 955 is 181450.

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 955?

Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.

4. How to Find the LCM of 950 and 955?

Answer:

Least Common Multiple of 950 and 955 = 181450

Step 1: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 955

955 = 5 x 191

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

LCM = 181450 = 2 x 5 x 5 x 19 x 191

Step 4: Therefore, the least common multiple of 950 and 955 is 181450.