Least Common Multiple of 949 and 951

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 951 the smallest integer that is 902499 that is divisible by both numbers.

Least Common Multiple (LCM) of 949 and 951 is 902499.

LCM(949,951) = 902499

LCM of 949 and 951

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

LCM of:
and

Least Common Multiple of 949 and 951

LCM of 949 and 951 is 902499

Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 951. First we will calculate the prime factors of 949 and 951.

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 951


3 951
317 317
1

Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:

951 = 31×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 951.

LCM(949,951) = 31×131×731×3171
LCM(949,951) = 902499

Factors of 949

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

1, 13, 73, 949

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Least Common Multiple of 949 and 951 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 951, than apply into the LCM equation.

GCF(949,951) = 1
LCM(949,951) = ( 949 × 951) / 1
LCM(949,951) = 902499 / 1
LCM(949,951) = 902499

Properties of LCM 949 and 951

(i) The LCM of 951 and 949 is associative

LCM of 949 and 951 = LCM of 951 and 949

Related Least Common Multiples of 949

Related Least Common Multiples of 951

Frequently Asked Questions on LCM of 949 and 951

1. What is the LCM of 949 and 951?

Answer: LCM of 949 and 951 is 902499.

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 951?

Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.

4. How to Find the LCM of 949 and 951?

Answer:

Least Common Multiple of 949 and 951 = 902499

Step 1: Find the prime factorization of 949

949 = 13 x 73

Step 2: Find the prime factorization of 951

951 = 3 x 317

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

LCM = 902499 = 3 x 13 x 73 x 317

Step 4: Therefore, the least common multiple of 949 and 951 is 902499.