Least Common Multiple of 914 and 916

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 916 the smallest integer that is 418612 that is divisible by both numbers.

Least Common Multiple (LCM) of 914 and 916 is 418612.

LCM(914,916) = 418612

LCM of 914 and 916

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

LCM of:
and

Least Common Multiple of 914 and 916

LCM of 914 and 916 is 418612

Least common multiple can be found by multiplying the highest exponent prime factors of 914 and 916. First we will calculate the prime factors of 914 and 916.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 914 and 916.

LCM(914,916) = 22×2291×4571
LCM(914,916) = 418612

Factors of 914

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

1, 2, 457, 914

Factors of 916

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

1, 2, 4, 229, 458, 916

Least Common Multiple of 914 and 916 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 916, than apply into the LCM equation.

GCF(914,916) = 2
LCM(914,916) = ( 914 × 916) / 2
LCM(914,916) = 837224 / 2
LCM(914,916) = 418612

Properties of LCM 914 and 916

(i) The LCM of 916 and 914 is associative

LCM of 914 and 916 = LCM of 916 and 914

Related Least Common Multiples of 914

Related Least Common Multiples of 916

Frequently Asked Questions on LCM of 914 and 916

1. What is the LCM of 914 and 916?

Answer: LCM of 914 and 916 is 418612.

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 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.

4. How to Find the LCM of 914 and 916?

Answer:

Least Common Multiple of 914 and 916 = 418612

Step 1: Find the prime factorization of 914

914 = 2 x 457

Step 2: Find the prime factorization of 916

916 = 2 x 2 x 229

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

LCM = 418612 = 2 x 2 x 229 x 457

Step 4: Therefore, the least common multiple of 914 and 916 is 418612.