Least Common Multiple of 313411 and 313417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313411 and 313417 the smallest integer that is 98228335387 that is divisible by both numbers.

Least Common Multiple (LCM) of 313411 and 313417 is 98228335387.

LCM(313411,313417) = 98228335387

LCM of 313411 and 313417

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

LCM of:
and

Least Common Multiple of 313411 and 313417

LCM of 313411 and 313417 is 98228335387

Least common multiple can be found by multiplying the highest exponent prime factors of 313411 and 313417. First we will calculate the prime factors of 313411 and 313417.

Prime Factorization of 313411


7 313411
44773 44773
1

Prime factors of 313411 are 7,44773. Prime factorization of 313411 in exponential form is:

313411 = 71×447731

Prime Factorization of 313417


13 313417
24109 24109
1

Prime factors of 313417 are 13,24109. Prime factorization of 313417 in exponential form is:

313417 = 131×241091

Now multiplying the highest exponent prime factors to calculate the LCM of 313411 and 313417.

LCM(313411,313417) = 71×131×241091×447731
LCM(313411,313417) = 98228335387

Factors of 313411

List of positive integer factors of 313411 that divides 313411 without a remainder.

1, 7, 44773, 313411

Factors of 313417

List of positive integer factors of 313417 that divides 313417 without a remainder.

1, 13, 24109, 313417

Least Common Multiple of 313411 and 313417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313411 and 313417, than apply into the LCM equation.

GCF(313411,313417) = 1
LCM(313411,313417) = ( 313411 × 313417) / 1
LCM(313411,313417) = 98228335387 / 1
LCM(313411,313417) = 98228335387

Properties of LCM 313411 and 313417

(i) The LCM of 313417 and 313411 is associative

LCM of 313411 and 313417 = LCM of 313417 and 313411

Related Least Common Multiples of 313411

Related Least Common Multiples of 313417

Frequently Asked Questions on LCM of 313411 and 313417

1. What is the LCM of 313411 and 313417?

Answer: LCM of 313411 and 313417 is 98228335387.

2. What are the Factors of 313411?

Answer: Factors of 313411 are 1, 7, 44773, 313411. There are 4 integers that are factors of 313411. The greatest factor of 313411 is 313411.

3. What are the Factors of 313417?

Answer: Factors of 313417 are 1, 13, 24109, 313417. There are 4 integers that are factors of 313417. The greatest factor of 313417 is 313417.

4. How to Find the LCM of 313411 and 313417?

Answer:

Least Common Multiple of 313411 and 313417 = 98228335387

Step 1: Find the prime factorization of 313411

313411 = 7 x 44773

Step 2: Find the prime factorization of 313417

313417 = 13 x 24109

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

LCM = 98228335387 = 7 x 13 x 24109 x 44773

Step 4: Therefore, the least common multiple of 313411 and 313417 is 98228335387.