Least Common Multiple of 951 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 951 and 954 the smallest integer that is 302418 that is divisible by both numbers.

Least Common Multiple (LCM) of 951 and 954 is 302418.

LCM(951,954) = 302418

LCM of 951 and 954

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

LCM of:
and

Least Common Multiple of 951 and 954

LCM of 951 and 954 is 302418

Least common multiple can be found by multiplying the highest exponent prime factors of 951 and 954. First we will calculate the prime factors of 951 and 954.

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

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 951 and 954.

LCM(951,954) = 21×32×531×3171
LCM(951,954) = 302418

Factors of 951

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

1, 3, 317, 951

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 951 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 951 and 954, than apply into the LCM equation.

GCF(951,954) = 3
LCM(951,954) = ( 951 × 954) / 3
LCM(951,954) = 907254 / 3
LCM(951,954) = 302418

Properties of LCM 951 and 954

(i) The LCM of 954 and 951 is associative

LCM of 951 and 954 = LCM of 954 and 951

Related Least Common Multiples of 951

Related Least Common Multiples of 954

Frequently Asked Questions on LCM of 951 and 954

1. What is the LCM of 951 and 954?

Answer: LCM of 951 and 954 is 302418.

2. 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.

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 951 and 954?

Answer:

Least Common Multiple of 951 and 954 = 302418

Step 1: Find the prime factorization of 951

951 = 3 x 317

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 = 302418 = 2 x 3 x 3 x 53 x 317

Step 4: Therefore, the least common multiple of 951 and 954 is 302418.