Least Common Multiple of 15403 and 15408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15403 and 15408 the smallest integer that is 237329424 that is divisible by both numbers.

Least Common Multiple (LCM) of 15403 and 15408 is 237329424.

LCM(15403,15408) = 237329424

LCM of 15403 and 15408

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

LCM of:
and

Least Common Multiple of 15403 and 15408

LCM of 15403 and 15408 is 237329424

Least common multiple can be found by multiplying the highest exponent prime factors of 15403 and 15408. First we will calculate the prime factors of 15403 and 15408.

Prime Factorization of 15403


73 15403
211 211
1

Prime factors of 15403 are 73,211. Prime factorization of 15403 in exponential form is:

15403 = 731×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15403 and 15408.

LCM(15403,15408) = 24×32×731×1071×2111
LCM(15403,15408) = 237329424

Factors of 15403

List of positive integer factors of 15403 that divides 15403 without a remainder.

1, 73, 211, 15403

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

Least Common Multiple of 15403 and 15408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15403 and 15408, than apply into the LCM equation.

GCF(15403,15408) = 1
LCM(15403,15408) = ( 15403 × 15408) / 1
LCM(15403,15408) = 237329424 / 1
LCM(15403,15408) = 237329424

Properties of LCM 15403 and 15408

(i) The LCM of 15408 and 15403 is associative

LCM of 15403 and 15408 = LCM of 15408 and 15403

Related Least Common Multiples of 15403

Related Least Common Multiples of 15408

Frequently Asked Questions on LCM of 15403 and 15408

1. What is the LCM of 15403 and 15408?

Answer: LCM of 15403 and 15408 is 237329424.

2. What are the Factors of 15403?

Answer: Factors of 15403 are 1, 73, 211, 15403. There are 4 integers that are factors of 15403. The greatest factor of 15403 is 15403.

3. 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.

4. How to Find the LCM of 15403 and 15408?

Answer:

Least Common Multiple of 15403 and 15408 = 237329424

Step 1: Find the prime factorization of 15403

15403 = 73 x 211

Step 2: Find the prime factorization of 15408

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

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

LCM = 237329424 = 2 x 2 x 2 x 2 x 3 x 3 x 73 x 107 x 211

Step 4: Therefore, the least common multiple of 15403 and 15408 is 237329424.