Least Common Multiple of 313418 and 313425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313418 and 313425 the smallest integer that is 14033290950 that is divisible by both numbers.

Least Common Multiple (LCM) of 313418 and 313425 is 14033290950.

LCM(313418,313425) = 14033290950

LCM of 313418 and 313425

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

LCM of:
and

Least Common Multiple of 313418 and 313425

LCM of 313418 and 313425 is 14033290950

Least common multiple can be found by multiplying the highest exponent prime factors of 313418 and 313425. First we will calculate the prime factors of 313418 and 313425.

Prime Factorization of 313418


2 313418
7 156709
61 22387
367 367
1

Prime factors of 313418 are 2, 7, 61,367. Prime factorization of 313418 in exponential form is:

313418 = 21×71×611×3671

Prime Factorization of 313425


3 313425
3 104475
5 34825
5 6965
7 1393
199 199
1

Prime factors of 313425 are 3, 5, 7,199. Prime factorization of 313425 in exponential form is:

313425 = 32×52×71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 313418 and 313425.

LCM(313418,313425) = 21×32×52×71×611×1991×3671
LCM(313418,313425) = 14033290950

Factors of 313418

List of positive integer factors of 313418 that divides 313418 without a remainder.

1, 2, 7, 14, 61, 122, 367, 427, 734, 854, 2569, 5138, 22387, 44774, 156709, 313418

Factors of 313425

List of positive integer factors of 313425 that divides 313425 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 199, 225, 315, 525, 597, 995, 1393, 1575, 1791, 2985, 4179, 4975, 6965, 8955, 12537, 14925, 20895, 34825, 44775, 62685, 104475, 313425

Least Common Multiple of 313418 and 313425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313418 and 313425, than apply into the LCM equation.

GCF(313418,313425) = 7
LCM(313418,313425) = ( 313418 × 313425) / 7
LCM(313418,313425) = 98233036650 / 7
LCM(313418,313425) = 14033290950

Properties of LCM 313418 and 313425

(i) The LCM of 313425 and 313418 is associative

LCM of 313418 and 313425 = LCM of 313425 and 313418

Related Least Common Multiples of 313418

Related Least Common Multiples of 313425

Frequently Asked Questions on LCM of 313418 and 313425

1. What is the LCM of 313418 and 313425?

Answer: LCM of 313418 and 313425 is 14033290950.

2. What are the Factors of 313418?

Answer: Factors of 313418 are 1, 2, 7, 14, 61, 122, 367, 427, 734, 854, 2569, 5138, 22387, 44774, 156709, 313418. There are 16 integers that are factors of 313418. The greatest factor of 313418 is 313418.

3. What are the Factors of 313425?

Answer: Factors of 313425 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 199, 225, 315, 525, 597, 995, 1393, 1575, 1791, 2985, 4179, 4975, 6965, 8955, 12537, 14925, 20895, 34825, 44775, 62685, 104475, 313425. There are 36 integers that are factors of 313425. The greatest factor of 313425 is 313425.

4. How to Find the LCM of 313418 and 313425?

Answer:

Least Common Multiple of 313418 and 313425 = 14033290950

Step 1: Find the prime factorization of 313418

313418 = 2 x 7 x 61 x 367

Step 2: Find the prime factorization of 313425

313425 = 3 x 3 x 5 x 5 x 7 x 199

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

LCM = 14033290950 = 2 x 3 x 3 x 5 x 5 x 7 x 61 x 199 x 367

Step 4: Therefore, the least common multiple of 313418 and 313425 is 14033290950.