Least Common Multiple of 2918 and 2922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2918 and 2922 the smallest integer that is 4263198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2918 and 2922 is 4263198.

LCM(2918,2922) = 4263198

LCM of 2918 and 2922

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

LCM of:
and

Least Common Multiple of 2918 and 2922

LCM of 2918 and 2922 is 4263198

Least common multiple can be found by multiplying the highest exponent prime factors of 2918 and 2922. First we will calculate the prime factors of 2918 and 2922.

Prime Factorization of 2918


2 2918
1459 1459
1

Prime factors of 2918 are 2,1459. Prime factorization of 2918 in exponential form is:

2918 = 21×14591

Prime Factorization of 2922


2 2922
3 1461
487 487
1

Prime factors of 2922 are 2, 3,487. Prime factorization of 2922 in exponential form is:

2922 = 21×31×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 2918 and 2922.

LCM(2918,2922) = 21×31×4871×14591
LCM(2918,2922) = 4263198

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1, 2, 1459, 2918

Factors of 2922

List of positive integer factors of 2922 that divides 2922 without a remainder.

1, 2, 3, 6, 487, 974, 1461, 2922

Least Common Multiple of 2918 and 2922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2918 and 2922, than apply into the LCM equation.

GCF(2918,2922) = 2
LCM(2918,2922) = ( 2918 × 2922) / 2
LCM(2918,2922) = 8526396 / 2
LCM(2918,2922) = 4263198

Properties of LCM 2918 and 2922

(i) The LCM of 2922 and 2918 is associative

LCM of 2918 and 2922 = LCM of 2922 and 2918

Related Least Common Multiples of 2918

Related Least Common Multiples of 2922

Frequently Asked Questions on LCM of 2918 and 2922

1. What is the LCM of 2918 and 2922?

Answer: LCM of 2918 and 2922 is 4263198.

2. What are the Factors of 2918?

Answer: Factors of 2918 are 1, 2, 1459, 2918. There are 4 integers that are factors of 2918. The greatest factor of 2918 is 2918.

3. What are the Factors of 2922?

Answer: Factors of 2922 are 1, 2, 3, 6, 487, 974, 1461, 2922. There are 8 integers that are factors of 2922. The greatest factor of 2922 is 2922.

4. How to Find the LCM of 2918 and 2922?

Answer:

Least Common Multiple of 2918 and 2922 = 4263198

Step 1: Find the prime factorization of 2918

2918 = 2 x 1459

Step 2: Find the prime factorization of 2922

2922 = 2 x 3 x 487

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

LCM = 4263198 = 2 x 3 x 487 x 1459

Step 4: Therefore, the least common multiple of 2918 and 2922 is 4263198.