Least Common Multiple of 916 and 919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 916 and 919 the smallest integer that is 841804 that is divisible by both numbers.

Least Common Multiple (LCM) of 916 and 919 is 841804.

LCM(916,919) = 841804

LCM of 916 and 919

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

LCM of:
and

Least Common Multiple of 916 and 919

LCM of 916 and 919 is 841804

Least common multiple can be found by multiplying the highest exponent prime factors of 916 and 919. First we will calculate the prime factors of 916 and 919.

Prime Factorization of 916


2 916
2 458
229 229
1

Prime factors of 916 are 2,229. Prime factorization of 916 in exponential form is:

916 = 22×2291

Prime Factorization of 919


919 919
1

Prime factors of 919 are 919. Prime factorization of 919 in exponential form is:

919 = 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 916 and 919.

LCM(916,919) = 22×2291×9191
LCM(916,919) = 841804

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1, 919

Least Common Multiple of 916 and 919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 916 and 919, than apply into the LCM equation.

GCF(916,919) = 1
LCM(916,919) = ( 916 × 919) / 1
LCM(916,919) = 841804 / 1
LCM(916,919) = 841804

Properties of LCM 916 and 919

(i) The LCM of 919 and 916 is associative

LCM of 916 and 919 = LCM of 919 and 916

Related Least Common Multiples of 916

Related Least Common Multiples of 919

Frequently Asked Questions on LCM of 916 and 919

1. What is the LCM of 916 and 919?

Answer: LCM of 916 and 919 is 841804.

2. What are the Factors of 916?

Answer: Factors of 916 are 1, 2, 4, 229, 458, 916. There are 6 integers that are factors of 916. The greatest factor of 916 is 916.

3. What are the Factors of 919?

Answer: Factors of 919 are 1, 919. There are 2 integers that are factors of 919. The greatest factor of 919 is 919.

4. How to Find the LCM of 916 and 919?

Answer:

Least Common Multiple of 916 and 919 = 841804

Step 1: Find the prime factorization of 916

916 = 2 x 2 x 229

Step 2: Find the prime factorization of 919

919 = 919

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

LCM = 841804 = 2 x 2 x 229 x 919

Step 4: Therefore, the least common multiple of 916 and 919 is 841804.