Least Common Multiple of 1910 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 1910 and 1916 the smallest integer that is 1829780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1910 and 1916 is 1829780.

LCM(1910,1916) = 1829780

LCM of 1910 and 1916

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

LCM of:
and

Least Common Multiple of 1910 and 1916

LCM of 1910 and 1916 is 1829780

Least common multiple can be found by multiplying the highest exponent prime factors of 1910 and 1916. First we will calculate the prime factors of 1910 and 1916.

Prime Factorization of 1910


2 1910
5 955
191 191
1

Prime factors of 1910 are 2, 5,191. Prime factorization of 1910 in exponential form is:

1910 = 21×51×1911

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 1910 and 1916.

LCM(1910,1916) = 22×51×1911×4791
LCM(1910,1916) = 1829780

Factors of 1910

List of positive integer factors of 1910 that divides 1910 without a remainder.

1, 2, 5, 10, 191, 382, 955, 1910

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 1910 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 1910 and 1916, than apply into the LCM equation.

GCF(1910,1916) = 2
LCM(1910,1916) = ( 1910 × 1916) / 2
LCM(1910,1916) = 3659560 / 2
LCM(1910,1916) = 1829780

Properties of LCM 1910 and 1916

(i) The LCM of 1916 and 1910 is associative

LCM of 1910 and 1916 = LCM of 1916 and 1910

Related Least Common Multiples of 1910

Related Least Common Multiples of 1916

Frequently Asked Questions on LCM of 1910 and 1916

1. What is the LCM of 1910 and 1916?

Answer: LCM of 1910 and 1916 is 1829780.

2. What are the Factors of 1910?

Answer: Factors of 1910 are 1, 2, 5, 10, 191, 382, 955, 1910. There are 8 integers that are factors of 1910. The greatest factor of 1910 is 1910.

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 1910 and 1916?

Answer:

Least Common Multiple of 1910 and 1916 = 1829780

Step 1: Find the prime factorization of 1910

1910 = 2 x 5 x 191

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 = 1829780 = 2 x 2 x 5 x 191 x 479

Step 4: Therefore, the least common multiple of 1910 and 1916 is 1829780.