Least Common Multiple of 914 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 914 and 921 the smallest integer that is 841794 that is divisible by both numbers.

Least Common Multiple (LCM) of 914 and 921 is 841794.

LCM(914,921) = 841794

LCM of 914 and 921

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

LCM of:
and

Least Common Multiple of 914 and 921

LCM of 914 and 921 is 841794

Least common multiple can be found by multiplying the highest exponent prime factors of 914 and 921. First we will calculate the prime factors of 914 and 921.

Prime Factorization of 914


2 914
457 457
1

Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:

914 = 21×4571

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 914 and 921.

LCM(914,921) = 21×31×3071×4571
LCM(914,921) = 841794

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Factors of 921

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

1, 3, 307, 921

Least Common Multiple of 914 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 914 and 921, than apply into the LCM equation.

GCF(914,921) = 1
LCM(914,921) = ( 914 × 921) / 1
LCM(914,921) = 841794 / 1
LCM(914,921) = 841794

Properties of LCM 914 and 921

(i) The LCM of 921 and 914 is associative

LCM of 914 and 921 = LCM of 921 and 914

Related Least Common Multiples of 914

Related Least Common Multiples of 921

Frequently Asked Questions on LCM of 914 and 921

1. What is the LCM of 914 and 921?

Answer: LCM of 914 and 921 is 841794.

2. What are the Factors of 914?

Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.

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 914 and 921?

Answer:

Least Common Multiple of 914 and 921 = 841794

Step 1: Find the prime factorization of 914

914 = 2 x 457

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 = 841794 = 2 x 3 x 307 x 457

Step 4: Therefore, the least common multiple of 914 and 921 is 841794.