Least Common Multiple of 918 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 918 and 919 the smallest integer that is 843642 that is divisible by both numbers.

Least Common Multiple (LCM) of 918 and 919 is 843642.

LCM(918,919) = 843642

LCM of 918 and 919

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

LCM of:
and

Least Common Multiple of 918 and 919

LCM of 918 and 919 is 843642

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 919. First we will calculate the prime factors of 918 and 919.

Prime Factorization of 918


2 918
3 459
3 153
3 51
17 17
1

Prime factors of 918 are 2, 3,17. Prime factorization of 918 in exponential form is:

918 = 21×33×171

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 918 and 919.

LCM(918,919) = 21×33×171×9191
LCM(918,919) = 843642

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Factors of 919

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

1, 919

Least Common Multiple of 918 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 918 and 919, than apply into the LCM equation.

GCF(918,919) = 1
LCM(918,919) = ( 918 × 919) / 1
LCM(918,919) = 843642 / 1
LCM(918,919) = 843642

Properties of LCM 918 and 919

(i) The LCM of 919 and 918 is associative

LCM of 918 and 919 = LCM of 919 and 918

Related Least Common Multiples of 918

Related Least Common Multiples of 919

Frequently Asked Questions on LCM of 918 and 919

1. What is the LCM of 918 and 919?

Answer: LCM of 918 and 919 is 843642.

2. What are the Factors of 918?

Answer: Factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918. There are 16 integers that are factors of 918. The greatest factor of 918 is 918.

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 918 and 919?

Answer:

Least Common Multiple of 918 and 919 = 843642

Step 1: Find the prime factorization of 918

918 = 2 x 3 x 3 x 3 x 17

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 = 843642 = 2 x 3 x 3 x 3 x 17 x 919

Step 4: Therefore, the least common multiple of 918 and 919 is 843642.