Least Common Multiple of 2922 and 2925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2922 and 2925 the smallest integer that is 2848950 that is divisible by both numbers.

Least Common Multiple (LCM) of 2922 and 2925 is 2848950.

LCM(2922,2925) = 2848950

LCM of 2922 and 2925

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

LCM of:
and

Least Common Multiple of 2922 and 2925

LCM of 2922 and 2925 is 2848950

Least common multiple can be found by multiplying the highest exponent prime factors of 2922 and 2925. First we will calculate the prime factors of 2922 and 2925.

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

Prime Factorization of 2925


3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 2925 are 3, 5,13. Prime factorization of 2925 in exponential form is:

2925 = 32×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2922 and 2925.

LCM(2922,2925) = 21×32×52×131×4871
LCM(2922,2925) = 2848950

Factors of 2922

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

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

Factors of 2925

List of positive integer factors of 2925 that divides 2925 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925

Least Common Multiple of 2922 and 2925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2922 and 2925, than apply into the LCM equation.

GCF(2922,2925) = 3
LCM(2922,2925) = ( 2922 × 2925) / 3
LCM(2922,2925) = 8546850 / 3
LCM(2922,2925) = 2848950

Properties of LCM 2922 and 2925

(i) The LCM of 2925 and 2922 is associative

LCM of 2922 and 2925 = LCM of 2925 and 2922

Related Least Common Multiples of 2922

Related Least Common Multiples of 2925

Frequently Asked Questions on LCM of 2922 and 2925

1. What is the LCM of 2922 and 2925?

Answer: LCM of 2922 and 2925 is 2848950.

2. 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.

3. What are the Factors of 2925?

Answer: Factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925. There are 18 integers that are factors of 2925. The greatest factor of 2925 is 2925.

4. How to Find the LCM of 2922 and 2925?

Answer:

Least Common Multiple of 2922 and 2925 = 2848950

Step 1: Find the prime factorization of 2922

2922 = 2 x 3 x 487

Step 2: Find the prime factorization of 2925

2925 = 3 x 3 x 5 x 5 x 13

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

LCM = 2848950 = 2 x 3 x 3 x 5 x 5 x 13 x 487

Step 4: Therefore, the least common multiple of 2922 and 2925 is 2848950.