Least Common Multiple of 907 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 907 and 914 the smallest integer that is 828998 that is divisible by both numbers.

Least Common Multiple (LCM) of 907 and 914 is 828998.

LCM(907,914) = 828998

LCM of 907 and 914

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

LCM of:
and

Least Common Multiple of 907 and 914

LCM of 907 and 914 is 828998

Least common multiple can be found by multiplying the highest exponent prime factors of 907 and 914. First we will calculate the prime factors of 907 and 914.

Prime Factorization of 907


907 907
1

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 9071

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 907 and 914.

LCM(907,914) = 21×4571×9071
LCM(907,914) = 828998

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1, 907

Factors of 914

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

1, 2, 457, 914

Least Common Multiple of 907 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 907 and 914, than apply into the LCM equation.

GCF(907,914) = 1
LCM(907,914) = ( 907 × 914) / 1
LCM(907,914) = 828998 / 1
LCM(907,914) = 828998

Properties of LCM 907 and 914

(i) The LCM of 914 and 907 is associative

LCM of 907 and 914 = LCM of 914 and 907

Related Least Common Multiples of 907

Related Least Common Multiples of 914

Frequently Asked Questions on LCM of 907 and 914

1. What is the LCM of 907 and 914?

Answer: LCM of 907 and 914 is 828998.

2. What are the Factors of 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

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 907 and 914?

Answer:

Least Common Multiple of 907 and 914 = 828998

Step 1: Find the prime factorization of 907

907 = 907

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 = 828998 = 2 x 457 x 907

Step 4: Therefore, the least common multiple of 907 and 914 is 828998.