Least Common Multiple of 919 and 921

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 921 the smallest integer that is 846399 that is divisible by both numbers.

Least Common Multiple (LCM) of 919 and 921 is 846399.

LCM(919,921) = 846399

LCM of 919 and 921

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

LCM of:
and

Least Common Multiple of 919 and 921

LCM of 919 and 921 is 846399

Least common multiple can be found by multiplying the highest exponent prime factors of 919 and 921. First we will calculate the prime factors of 919 and 921.

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 921


3 921
307 307
1

Prime factors of 921 are 3,307. Prime factorization of 921 in exponential form is:

921 = 31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 919 and 921.

LCM(919,921) = 31×3071×9191
LCM(919,921) = 846399

Factors of 919

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

1, 919

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Least Common Multiple of 919 and 921 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 921, than apply into the LCM equation.

GCF(919,921) = 1
LCM(919,921) = ( 919 × 921) / 1
LCM(919,921) = 846399 / 1
LCM(919,921) = 846399

Properties of LCM 919 and 921

(i) The LCM of 921 and 919 is associative

LCM of 919 and 921 = LCM of 921 and 919

Related Least Common Multiples of 919

Related Least Common Multiples of 921

Frequently Asked Questions on LCM of 919 and 921

1. What is the LCM of 919 and 921?

Answer: LCM of 919 and 921 is 846399.

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 921?

Answer: Factors of 921 are 1, 3, 307, 921. There are 4 integers that are factors of 921. The greatest factor of 921 is 921.

4. How to Find the LCM of 919 and 921?

Answer:

Least Common Multiple of 919 and 921 = 846399

Step 1: Find the prime factorization of 919

919 = 919

Step 2: Find the prime factorization of 921

921 = 3 x 307

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

LCM = 846399 = 3 x 307 x 919

Step 4: Therefore, the least common multiple of 919 and 921 is 846399.