Least Common Multiple of 9519 and 9523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9519 and 9523 the smallest integer that is 90649437 that is divisible by both numbers.

Least Common Multiple (LCM) of 9519 and 9523 is 90649437.

LCM(9519,9523) = 90649437

LCM of 9519 and 9523

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

LCM of:
and

Least Common Multiple of 9519 and 9523

LCM of 9519 and 9523 is 90649437

Least common multiple can be found by multiplying the highest exponent prime factors of 9519 and 9523. First we will calculate the prime factors of 9519 and 9523.

Prime Factorization of 9519


3 9519
19 3173
167 167
1

Prime factors of 9519 are 3, 19,167. Prime factorization of 9519 in exponential form is:

9519 = 31×191×1671

Prime Factorization of 9523


89 9523
107 107
1

Prime factors of 9523 are 89,107. Prime factorization of 9523 in exponential form is:

9523 = 891×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9519 and 9523.

LCM(9519,9523) = 31×191×891×1071×1671
LCM(9519,9523) = 90649437

Factors of 9519

List of positive integer factors of 9519 that divides 9519 without a remainder.

1, 3, 19, 57, 167, 501, 3173, 9519

Factors of 9523

List of positive integer factors of 9523 that divides 9523 without a remainder.

1, 89, 107, 9523

Least Common Multiple of 9519 and 9523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9519 and 9523, than apply into the LCM equation.

GCF(9519,9523) = 1
LCM(9519,9523) = ( 9519 × 9523) / 1
LCM(9519,9523) = 90649437 / 1
LCM(9519,9523) = 90649437

Properties of LCM 9519 and 9523

(i) The LCM of 9523 and 9519 is associative

LCM of 9519 and 9523 = LCM of 9523 and 9519

Related Least Common Multiples of 9519

Related Least Common Multiples of 9523

Frequently Asked Questions on LCM of 9519 and 9523

1. What is the LCM of 9519 and 9523?

Answer: LCM of 9519 and 9523 is 90649437.

2. What are the Factors of 9519?

Answer: Factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519. There are 8 integers that are factors of 9519. The greatest factor of 9519 is 9519.

3. What are the Factors of 9523?

Answer: Factors of 9523 are 1, 89, 107, 9523. There are 4 integers that are factors of 9523. The greatest factor of 9523 is 9523.

4. How to Find the LCM of 9519 and 9523?

Answer:

Least Common Multiple of 9519 and 9523 = 90649437

Step 1: Find the prime factorization of 9519

9519 = 3 x 19 x 167

Step 2: Find the prime factorization of 9523

9523 = 89 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 = 90649437 = 3 x 19 x 89 x 107 x 167

Step 4: Therefore, the least common multiple of 9519 and 9523 is 90649437.