Least Common Multiple of 1908 and 1913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1908 and 1913 the smallest integer that is 3650004 that is divisible by both numbers.

Least Common Multiple (LCM) of 1908 and 1913 is 3650004.

LCM(1908,1913) = 3650004

LCM of 1908 and 1913

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

LCM of:
and

Least Common Multiple of 1908 and 1913

LCM of 1908 and 1913 is 3650004

Least common multiple can be found by multiplying the highest exponent prime factors of 1908 and 1913. First we will calculate the prime factors of 1908 and 1913.

Prime Factorization of 1908


2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 1908 are 2, 3,53. Prime factorization of 1908 in exponential form is:

1908 = 22×32×531

Prime Factorization of 1913


1913 1913
1

Prime factors of 1913 are 1913. Prime factorization of 1913 in exponential form is:

1913 = 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 1908 and 1913.

LCM(1908,1913) = 22×32×531×19131
LCM(1908,1913) = 3650004

Factors of 1908

List of positive integer factors of 1908 that divides 1908 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908

Factors of 1913

List of positive integer factors of 1913 that divides 1913 without a remainder.

1, 1913

Least Common Multiple of 1908 and 1913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1908 and 1913, than apply into the LCM equation.

GCF(1908,1913) = 1
LCM(1908,1913) = ( 1908 × 1913) / 1
LCM(1908,1913) = 3650004 / 1
LCM(1908,1913) = 3650004

Properties of LCM 1908 and 1913

(i) The LCM of 1913 and 1908 is associative

LCM of 1908 and 1913 = LCM of 1913 and 1908

Related Least Common Multiples of 1908

Related Least Common Multiples of 1913

Frequently Asked Questions on LCM of 1908 and 1913

1. What is the LCM of 1908 and 1913?

Answer: LCM of 1908 and 1913 is 3650004.

2. What are the Factors of 1908?

Answer: Factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908. There are 18 integers that are factors of 1908. The greatest factor of 1908 is 1908.

3. What are the Factors of 1913?

Answer: Factors of 1913 are 1, 1913. There are 2 integers that are factors of 1913. The greatest factor of 1913 is 1913.

4. How to Find the LCM of 1908 and 1913?

Answer:

Least Common Multiple of 1908 and 1913 = 3650004

Step 1: Find the prime factorization of 1908

1908 = 2 x 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 1913

1913 = 1913

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

LCM = 3650004 = 2 x 2 x 3 x 3 x 53 x 1913

Step 4: Therefore, the least common multiple of 1908 and 1913 is 3650004.