Least Common Multiple of 949 and 953

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 953 the smallest integer that is 904397 that is divisible by both numbers.

Least Common Multiple (LCM) of 949 and 953 is 904397.

LCM(949,953) = 904397

LCM of 949 and 953

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

LCM of:
and

Least Common Multiple of 949 and 953

LCM of 949 and 953 is 904397

Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 953. First we will calculate the prime factors of 949 and 953.

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 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 953.

LCM(949,953) = 131×731×9531
LCM(949,953) = 904397

Factors of 949

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

1, 13, 73, 949

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1, 953

Least Common Multiple of 949 and 953 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 953, than apply into the LCM equation.

GCF(949,953) = 1
LCM(949,953) = ( 949 × 953) / 1
LCM(949,953) = 904397 / 1
LCM(949,953) = 904397

Properties of LCM 949 and 953

(i) The LCM of 953 and 949 is associative

LCM of 949 and 953 = LCM of 953 and 949

Related Least Common Multiples of 949

Related Least Common Multiples of 953

Frequently Asked Questions on LCM of 949 and 953

1. What is the LCM of 949 and 953?

Answer: LCM of 949 and 953 is 904397.

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 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

4. How to Find the LCM of 949 and 953?

Answer:

Least Common Multiple of 949 and 953 = 904397

Step 1: Find the prime factorization of 949

949 = 13 x 73

Step 2: Find the prime factorization of 953

953 = 953

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

LCM = 904397 = 13 x 73 x 953

Step 4: Therefore, the least common multiple of 949 and 953 is 904397.