Least Common Multiple of 906 and 914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 906 and 914 the smallest integer that is 414042 that is divisible by both numbers.

Least Common Multiple (LCM) of 906 and 914 is 414042.

LCM(906,914) = 414042

LCM of 906 and 914

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

LCM of:
and

Least Common Multiple of 906 and 914

LCM of 906 and 914 is 414042

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 914. First we will calculate the prime factors of 906 and 914.

Prime Factorization of 906


2 906
3 453
151 151
1

Prime factors of 906 are 2, 3,151. Prime factorization of 906 in exponential form is:

906 = 21×31×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 906 and 914.

LCM(906,914) = 21×31×1511×4571
LCM(906,914) = 414042

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Factors of 914

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

1, 2, 457, 914

Least Common Multiple of 906 and 914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 906 and 914, than apply into the LCM equation.

GCF(906,914) = 2
LCM(906,914) = ( 906 × 914) / 2
LCM(906,914) = 828084 / 2
LCM(906,914) = 414042

Properties of LCM 906 and 914

(i) The LCM of 914 and 906 is associative

LCM of 906 and 914 = LCM of 914 and 906

Related Least Common Multiples of 906

Related Least Common Multiples of 914

Frequently Asked Questions on LCM of 906 and 914

1. What is the LCM of 906 and 914?

Answer: LCM of 906 and 914 is 414042.

2. What are the Factors of 906?

Answer: Factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906. There are 8 integers that are factors of 906. The greatest factor of 906 is 906.

3. 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.

4. How to Find the LCM of 906 and 914?

Answer:

Least Common Multiple of 906 and 914 = 414042

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

Step 2: Find the prime factorization of 914

914 = 2 x 457

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

LCM = 414042 = 2 x 3 x 151 x 457

Step 4: Therefore, the least common multiple of 906 and 914 is 414042.