Least Common Multiple of 1911 and 1919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1911 and 1919 the smallest integer that is 3667209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1911 and 1919 is 3667209.

LCM(1911,1919) = 3667209

LCM of 1911 and 1919

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

LCM of:
and

Least Common Multiple of 1911 and 1919

LCM of 1911 and 1919 is 3667209

Least common multiple can be found by multiplying the highest exponent prime factors of 1911 and 1919. First we will calculate the prime factors of 1911 and 1919.

Prime Factorization of 1911


3 1911
7 637
7 91
13 13
1

Prime factors of 1911 are 3, 7,13. Prime factorization of 1911 in exponential form is:

1911 = 31×72×131

Prime Factorization of 1919


19 1919
101 101
1

Prime factors of 1919 are 19,101. Prime factorization of 1919 in exponential form is:

1919 = 191×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1911 and 1919.

LCM(1911,1919) = 31×72×131×191×1011
LCM(1911,1919) = 3667209

Factors of 1911

List of positive integer factors of 1911 that divides 1911 without a remainder.

1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911

Factors of 1919

List of positive integer factors of 1919 that divides 1919 without a remainder.

1, 19, 101, 1919

Least Common Multiple of 1911 and 1919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1911 and 1919, than apply into the LCM equation.

GCF(1911,1919) = 1
LCM(1911,1919) = ( 1911 × 1919) / 1
LCM(1911,1919) = 3667209 / 1
LCM(1911,1919) = 3667209

Properties of LCM 1911 and 1919

(i) The LCM of 1919 and 1911 is associative

LCM of 1911 and 1919 = LCM of 1919 and 1911

Related Least Common Multiples of 1911

Related Least Common Multiples of 1919

Frequently Asked Questions on LCM of 1911 and 1919

1. What is the LCM of 1911 and 1919?

Answer: LCM of 1911 and 1919 is 3667209.

2. What are the Factors of 1911?

Answer: Factors of 1911 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911. There are 12 integers that are factors of 1911. The greatest factor of 1911 is 1911.

3. What are the Factors of 1919?

Answer: Factors of 1919 are 1, 19, 101, 1919. There are 4 integers that are factors of 1919. The greatest factor of 1919 is 1919.

4. How to Find the LCM of 1911 and 1919?

Answer:

Least Common Multiple of 1911 and 1919 = 3667209

Step 1: Find the prime factorization of 1911

1911 = 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 1919

1919 = 19 x 101

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

LCM = 3667209 = 3 x 7 x 7 x 13 x 19 x 101

Step 4: Therefore, the least common multiple of 1911 and 1919 is 3667209.