Least Common Multiple of 2913 and 2920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2913 and 2920 the smallest integer that is 8505960 that is divisible by both numbers.

Least Common Multiple (LCM) of 2913 and 2920 is 8505960.

LCM(2913,2920) = 8505960

LCM of 2913 and 2920

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

LCM of:
and

Least Common Multiple of 2913 and 2920

LCM of 2913 and 2920 is 8505960

Least common multiple can be found by multiplying the highest exponent prime factors of 2913 and 2920. First we will calculate the prime factors of 2913 and 2920.

Prime Factorization of 2913


3 2913
971 971
1

Prime factors of 2913 are 3,971. Prime factorization of 2913 in exponential form is:

2913 = 31×9711

Prime Factorization of 2920


2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 2920 are 2, 5,73. Prime factorization of 2920 in exponential form is:

2920 = 23×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2913 and 2920.

LCM(2913,2920) = 23×31×51×731×9711
LCM(2913,2920) = 8505960

Factors of 2913

List of positive integer factors of 2913 that divides 2913 without a remainder.

1, 3, 971, 2913

Factors of 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920

Least Common Multiple of 2913 and 2920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2913 and 2920, than apply into the LCM equation.

GCF(2913,2920) = 1
LCM(2913,2920) = ( 2913 × 2920) / 1
LCM(2913,2920) = 8505960 / 1
LCM(2913,2920) = 8505960

Properties of LCM 2913 and 2920

(i) The LCM of 2920 and 2913 is associative

LCM of 2913 and 2920 = LCM of 2920 and 2913

Related Least Common Multiples of 2913

Related Least Common Multiples of 2920

Frequently Asked Questions on LCM of 2913 and 2920

1. What is the LCM of 2913 and 2920?

Answer: LCM of 2913 and 2920 is 8505960.

2. What are the Factors of 2913?

Answer: Factors of 2913 are 1, 3, 971, 2913. There are 4 integers that are factors of 2913. The greatest factor of 2913 is 2913.

3. What are the Factors of 2920?

Answer: Factors of 2920 are 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920. There are 16 integers that are factors of 2920. The greatest factor of 2920 is 2920.

4. How to Find the LCM of 2913 and 2920?

Answer:

Least Common Multiple of 2913 and 2920 = 8505960

Step 1: Find the prime factorization of 2913

2913 = 3 x 971

Step 2: Find the prime factorization of 2920

2920 = 2 x 2 x 2 x 5 x 73

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

LCM = 8505960 = 2 x 2 x 2 x 3 x 5 x 73 x 971

Step 4: Therefore, the least common multiple of 2913 and 2920 is 8505960.