Least Common Multiple of 1909 and 1916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1909 and 1916 the smallest integer that is 3657644 that is divisible by both numbers.

Least Common Multiple (LCM) of 1909 and 1916 is 3657644.

LCM(1909,1916) = 3657644

LCM of 1909 and 1916

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

LCM of:
and

Least Common Multiple of 1909 and 1916

LCM of 1909 and 1916 is 3657644

Least common multiple can be found by multiplying the highest exponent prime factors of 1909 and 1916. First we will calculate the prime factors of 1909 and 1916.

Prime Factorization of 1909


23 1909
83 83
1

Prime factors of 1909 are 23,83. Prime factorization of 1909 in exponential form is:

1909 = 231×831

Prime Factorization of 1916


2 1916
2 958
479 479
1

Prime factors of 1916 are 2,479. Prime factorization of 1916 in exponential form is:

1916 = 22×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 1909 and 1916.

LCM(1909,1916) = 22×231×831×4791
LCM(1909,1916) = 3657644

Factors of 1909

List of positive integer factors of 1909 that divides 1909 without a remainder.

1, 23, 83, 1909

Factors of 1916

List of positive integer factors of 1916 that divides 1916 without a remainder.

1, 2, 4, 479, 958, 1916

Least Common Multiple of 1909 and 1916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1909 and 1916, than apply into the LCM equation.

GCF(1909,1916) = 1
LCM(1909,1916) = ( 1909 × 1916) / 1
LCM(1909,1916) = 3657644 / 1
LCM(1909,1916) = 3657644

Properties of LCM 1909 and 1916

(i) The LCM of 1916 and 1909 is associative

LCM of 1909 and 1916 = LCM of 1916 and 1909

Related Least Common Multiples of 1909

Related Least Common Multiples of 1916

Frequently Asked Questions on LCM of 1909 and 1916

1. What is the LCM of 1909 and 1916?

Answer: LCM of 1909 and 1916 is 3657644.

2. What are the Factors of 1909?

Answer: Factors of 1909 are 1, 23, 83, 1909. There are 4 integers that are factors of 1909. The greatest factor of 1909 is 1909.

3. What are the Factors of 1916?

Answer: Factors of 1916 are 1, 2, 4, 479, 958, 1916. There are 6 integers that are factors of 1916. The greatest factor of 1916 is 1916.

4. How to Find the LCM of 1909 and 1916?

Answer:

Least Common Multiple of 1909 and 1916 = 3657644

Step 1: Find the prime factorization of 1909

1909 = 23 x 83

Step 2: Find the prime factorization of 1916

1916 = 2 x 2 x 479

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

LCM = 3657644 = 2 x 2 x 23 x 83 x 479

Step 4: Therefore, the least common multiple of 1909 and 1916 is 3657644.