Least Common Multiple of 315407 and 315414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 315407 and 315414 the smallest integer that is 99483783498 that is divisible by both numbers.

Least Common Multiple (LCM) of 315407 and 315414 is 99483783498.

LCM(315407,315414) = 99483783498

LCM of 315407 and 315414

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

LCM of:
and

Least Common Multiple of 315407 and 315414

LCM of 315407 and 315414 is 99483783498

Least common multiple can be found by multiplying the highest exponent prime factors of 315407 and 315414. First we will calculate the prime factors of 315407 and 315414.

Prime Factorization of 315407


315407 315407
1

Prime factors of 315407 are 315407. Prime factorization of 315407 in exponential form is:

315407 = 3154071

Prime Factorization of 315414


2 315414
3 157707
3 52569
3 17523
3 5841
3 1947
11 649
59 59
1

Prime factors of 315414 are 2, 3, 11,59. Prime factorization of 315414 in exponential form is:

315414 = 21×35×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 315407 and 315414.

LCM(315407,315414) = 21×35×111×591×3154071
LCM(315407,315414) = 99483783498

Factors of 315407

List of positive integer factors of 315407 that divides 315407 without a remainder.

1, 315407

Factors of 315414

List of positive integer factors of 315414 that divides 315414 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 59, 66, 81, 99, 118, 162, 177, 198, 243, 297, 354, 486, 531, 594, 649, 891, 1062, 1298, 1593, 1782, 1947, 2673, 3186, 3894, 4779, 5346, 5841, 9558, 11682, 14337, 17523, 28674, 35046, 52569, 105138, 157707, 315414

Least Common Multiple of 315407 and 315414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315407 and 315414, than apply into the LCM equation.

GCF(315407,315414) = 1
LCM(315407,315414) = ( 315407 × 315414) / 1
LCM(315407,315414) = 99483783498 / 1
LCM(315407,315414) = 99483783498

Properties of LCM 315407 and 315414

(i) The LCM of 315414 and 315407 is associative

LCM of 315407 and 315414 = LCM of 315414 and 315407

Related Least Common Multiples of 315407

Related Least Common Multiples of 315414

Frequently Asked Questions on LCM of 315407 and 315414

1. What is the LCM of 315407 and 315414?

Answer: LCM of 315407 and 315414 is 99483783498.

2. What are the Factors of 315407?

Answer: Factors of 315407 are 1, 315407. There are 2 integers that are factors of 315407. The greatest factor of 315407 is 315407.

3. What are the Factors of 315414?

Answer: Factors of 315414 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 59, 66, 81, 99, 118, 162, 177, 198, 243, 297, 354, 486, 531, 594, 649, 891, 1062, 1298, 1593, 1782, 1947, 2673, 3186, 3894, 4779, 5346, 5841, 9558, 11682, 14337, 17523, 28674, 35046, 52569, 105138, 157707, 315414. There are 48 integers that are factors of 315414. The greatest factor of 315414 is 315414.

4. How to Find the LCM of 315407 and 315414?

Answer:

Least Common Multiple of 315407 and 315414 = 99483783498

Step 1: Find the prime factorization of 315407

315407 = 315407

Step 2: Find the prime factorization of 315414

315414 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 59

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

LCM = 99483783498 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 59 x 315407

Step 4: Therefore, the least common multiple of 315407 and 315414 is 99483783498.