Least Common Multiple of 919 and 920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 919 and 920 the smallest integer that is 845480 that is divisible by both numbers.

Least Common Multiple (LCM) of 919 and 920 is 845480.

LCM(919,920) = 845480

LCM of 919 and 920

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

LCM of:
and

Least Common Multiple of 919 and 920

LCM of 919 and 920 is 845480

Least common multiple can be found by multiplying the highest exponent prime factors of 919 and 920. First we will calculate the prime factors of 919 and 920.

Prime Factorization of 919


919 919
1

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

919 = 9191

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 919 and 920.

LCM(919,920) = 23×51×231×9191
LCM(919,920) = 845480

Factors of 919

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

1, 919

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Least Common Multiple of 919 and 920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 919 and 920, than apply into the LCM equation.

GCF(919,920) = 1
LCM(919,920) = ( 919 × 920) / 1
LCM(919,920) = 845480 / 1
LCM(919,920) = 845480

Properties of LCM 919 and 920

(i) The LCM of 920 and 919 is associative

LCM of 919 and 920 = LCM of 920 and 919

Related Least Common Multiples of 919

Related Least Common Multiples of 920

Frequently Asked Questions on LCM of 919 and 920

1. What is the LCM of 919 and 920?

Answer: LCM of 919 and 920 is 845480.

2. 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.

3. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

4. How to Find the LCM of 919 and 920?

Answer:

Least Common Multiple of 919 and 920 = 845480

Step 1: Find the prime factorization of 919

919 = 919

Step 2: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

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

LCM = 845480 = 2 x 2 x 2 x 5 x 23 x 919

Step 4: Therefore, the least common multiple of 919 and 920 is 845480.