Least Common Multiple of 906 and 913

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 913 the smallest integer that is 827178 that is divisible by both numbers.

Least Common Multiple (LCM) of 906 and 913 is 827178.

LCM(906,913) = 827178

LCM of 906 and 913

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

LCM of:
and

Least Common Multiple of 906 and 913

LCM of 906 and 913 is 827178

Least common multiple can be found by multiplying the highest exponent prime factors of 906 and 913. First we will calculate the prime factors of 906 and 913.

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 913


11 913
83 83
1

Prime factors of 913 are 11,83. Prime factorization of 913 in exponential form is:

913 = 111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 906 and 913.

LCM(906,913) = 21×31×111×831×1511
LCM(906,913) = 827178

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 913

List of positive integer factors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Least Common Multiple of 906 and 913 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 913, than apply into the LCM equation.

GCF(906,913) = 1
LCM(906,913) = ( 906 × 913) / 1
LCM(906,913) = 827178 / 1
LCM(906,913) = 827178

Properties of LCM 906 and 913

(i) The LCM of 913 and 906 is associative

LCM of 906 and 913 = LCM of 913 and 906

Related Least Common Multiples of 906

Related Least Common Multiples of 913

Frequently Asked Questions on LCM of 906 and 913

1. What is the LCM of 906 and 913?

Answer: LCM of 906 and 913 is 827178.

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 913?

Answer: Factors of 913 are 1, 11, 83, 913. There are 4 integers that are factors of 913. The greatest factor of 913 is 913.

4. How to Find the LCM of 906 and 913?

Answer:

Least Common Multiple of 906 and 913 = 827178

Step 1: Find the prime factorization of 906

906 = 2 x 3 x 151

Step 2: Find the prime factorization of 913

913 = 11 x 83

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

LCM = 827178 = 2 x 3 x 11 x 83 x 151

Step 4: Therefore, the least common multiple of 906 and 913 is 827178.