Least Common Multiple of 15408 and 15413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15408 and 15413 the smallest integer that is 237483504 that is divisible by both numbers.

Least Common Multiple (LCM) of 15408 and 15413 is 237483504.

LCM(15408,15413) = 237483504

LCM of 15408 and 15413

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

LCM of:
and

Least Common Multiple of 15408 and 15413

LCM of 15408 and 15413 is 237483504

Least common multiple can be found by multiplying the highest exponent prime factors of 15408 and 15413. First we will calculate the prime factors of 15408 and 15413.

Prime Factorization of 15408


2 15408
2 7704
2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 15408 are 2, 3,107. Prime factorization of 15408 in exponential form is:

15408 = 24×32×1071

Prime Factorization of 15413


15413 15413
1

Prime factors of 15413 are 15413. Prime factorization of 15413 in exponential form is:

15413 = 154131

Now multiplying the highest exponent prime factors to calculate the LCM of 15408 and 15413.

LCM(15408,15413) = 24×32×1071×154131
LCM(15408,15413) = 237483504

Factors of 15408

List of positive integer factors of 15408 that divides 15408 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144, 214, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3852, 5136, 7704, 15408

Factors of 15413

List of positive integer factors of 15413 that divides 15413 without a remainder.

1, 15413

Least Common Multiple of 15408 and 15413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15408 and 15413, than apply into the LCM equation.

GCF(15408,15413) = 1
LCM(15408,15413) = ( 15408 × 15413) / 1
LCM(15408,15413) = 237483504 / 1
LCM(15408,15413) = 237483504

Properties of LCM 15408 and 15413

(i) The LCM of 15413 and 15408 is associative

LCM of 15408 and 15413 = LCM of 15413 and 15408

Related Least Common Multiples of 15408

Related Least Common Multiples of 15413

Frequently Asked Questions on LCM of 15408 and 15413

1. What is the LCM of 15408 and 15413?

Answer: LCM of 15408 and 15413 is 237483504.

2. What are the Factors of 15408?

Answer: Factors of 15408 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 107, 144, 214, 321, 428, 642, 856, 963, 1284, 1712, 1926, 2568, 3852, 5136, 7704, 15408. There are 30 integers that are factors of 15408. The greatest factor of 15408 is 15408.

3. What are the Factors of 15413?

Answer: Factors of 15413 are 1, 15413. There are 2 integers that are factors of 15413. The greatest factor of 15413 is 15413.

4. How to Find the LCM of 15408 and 15413?

Answer:

Least Common Multiple of 15408 and 15413 = 237483504

Step 1: Find the prime factorization of 15408

15408 = 2 x 2 x 2 x 2 x 3 x 3 x 107

Step 2: Find the prime factorization of 15413

15413 = 15413

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

LCM = 237483504 = 2 x 2 x 2 x 2 x 3 x 3 x 107 x 15413

Step 4: Therefore, the least common multiple of 15408 and 15413 is 237483504.