Least Common Multiple of 949 and 950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 949 and 950 the smallest integer that is 901550 that is divisible by both numbers.

Least Common Multiple (LCM) of 949 and 950 is 901550.

LCM(949,950) = 901550

LCM of 949 and 950

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

LCM of:
and

Least Common Multiple of 949 and 950

LCM of 949 and 950 is 901550

Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 950. First we will calculate the prime factors of 949 and 950.

Prime Factorization of 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 950.

LCM(949,950) = 21×52×131×191×731
LCM(949,950) = 901550

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1, 13, 73, 949

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

Least Common Multiple of 949 and 950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 949 and 950, than apply into the LCM equation.

GCF(949,950) = 1
LCM(949,950) = ( 949 × 950) / 1
LCM(949,950) = 901550 / 1
LCM(949,950) = 901550

Properties of LCM 949 and 950

(i) The LCM of 950 and 949 is associative

LCM of 949 and 950 = LCM of 950 and 949

Related Least Common Multiples of 949

Related Least Common Multiples of 950

Frequently Asked Questions on LCM of 949 and 950

1. What is the LCM of 949 and 950?

Answer: LCM of 949 and 950 is 901550.

2. What are the Factors of 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

3. 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.

4. How to Find the LCM of 949 and 950?

Answer:

Least Common Multiple of 949 and 950 = 901550

Step 1: Find the prime factorization of 949

949 = 13 x 73

Step 2: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

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

LCM = 901550 = 2 x 5 x 5 x 13 x 19 x 73

Step 4: Therefore, the least common multiple of 949 and 950 is 901550.