Least Common Multiple of 311425 and 311433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311425 and 311433 the smallest integer that is 96988022025 that is divisible by both numbers.

Least Common Multiple (LCM) of 311425 and 311433 is 96988022025.

LCM(311425,311433) = 96988022025

LCM of 311425 and 311433

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

LCM of:
and

Least Common Multiple of 311425 and 311433

LCM of 311425 and 311433 is 96988022025

Least common multiple can be found by multiplying the highest exponent prime factors of 311425 and 311433. First we will calculate the prime factors of 311425 and 311433.

Prime Factorization of 311425


5 311425
5 62285
12457 12457
1

Prime factors of 311425 are 5,12457. Prime factorization of 311425 in exponential form is:

311425 = 52×124571

Prime Factorization of 311433


3 311433
103811 103811
1

Prime factors of 311433 are 3,103811. Prime factorization of 311433 in exponential form is:

311433 = 31×1038111

Now multiplying the highest exponent prime factors to calculate the LCM of 311425 and 311433.

LCM(311425,311433) = 31×52×124571×1038111
LCM(311425,311433) = 96988022025

Factors of 311425

List of positive integer factors of 311425 that divides 311425 without a remainder.

1, 5, 25, 12457, 62285, 311425

Factors of 311433

List of positive integer factors of 311433 that divides 311433 without a remainder.

1, 3, 103811, 311433

Least Common Multiple of 311425 and 311433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311425 and 311433, than apply into the LCM equation.

GCF(311425,311433) = 1
LCM(311425,311433) = ( 311425 × 311433) / 1
LCM(311425,311433) = 96988022025 / 1
LCM(311425,311433) = 96988022025

Properties of LCM 311425 and 311433

(i) The LCM of 311433 and 311425 is associative

LCM of 311425 and 311433 = LCM of 311433 and 311425

Related Least Common Multiples of 311425

Related Least Common Multiples of 311433

Frequently Asked Questions on LCM of 311425 and 311433

1. What is the LCM of 311425 and 311433?

Answer: LCM of 311425 and 311433 is 96988022025.

2. What are the Factors of 311425?

Answer: Factors of 311425 are 1, 5, 25, 12457, 62285, 311425. There are 6 integers that are factors of 311425. The greatest factor of 311425 is 311425.

3. What are the Factors of 311433?

Answer: Factors of 311433 are 1, 3, 103811, 311433. There are 4 integers that are factors of 311433. The greatest factor of 311433 is 311433.

4. How to Find the LCM of 311425 and 311433?

Answer:

Least Common Multiple of 311425 and 311433 = 96988022025

Step 1: Find the prime factorization of 311425

311425 = 5 x 5 x 12457

Step 2: Find the prime factorization of 311433

311433 = 3 x 103811

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

LCM = 96988022025 = 3 x 5 x 5 x 12457 x 103811

Step 4: Therefore, the least common multiple of 311425 and 311433 is 96988022025.