Least Common Multiple of 12305 and 12313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 12305 and 12313 the smallest integer that is 151511465 that is divisible by both numbers.

Least Common Multiple (LCM) of 12305 and 12313 is 151511465.

LCM(12305,12313) = 151511465

LCM of 12305 and 12313

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

LCM of:
and

Least Common Multiple of 12305 and 12313

LCM of 12305 and 12313 is 151511465

Least common multiple can be found by multiplying the highest exponent prime factors of 12305 and 12313. First we will calculate the prime factors of 12305 and 12313.

Prime Factorization of 12305


5 12305
23 2461
107 107
1

Prime factors of 12305 are 5, 23,107. Prime factorization of 12305 in exponential form is:

12305 = 51×231×1071

Prime Factorization of 12313


7 12313
1759 1759
1

Prime factors of 12313 are 7,1759. Prime factorization of 12313 in exponential form is:

12313 = 71×17591

Now multiplying the highest exponent prime factors to calculate the LCM of 12305 and 12313.

LCM(12305,12313) = 51×71×231×1071×17591
LCM(12305,12313) = 151511465

Factors of 12305

List of positive integer factors of 12305 that divides 12305 without a remainder.

1, 5, 23, 107, 115, 535, 2461, 12305

Factors of 12313

List of positive integer factors of 12313 that divides 12313 without a remainder.

1, 7, 1759, 12313

Least Common Multiple of 12305 and 12313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12305 and 12313, than apply into the LCM equation.

GCF(12305,12313) = 1
LCM(12305,12313) = ( 12305 × 12313) / 1
LCM(12305,12313) = 151511465 / 1
LCM(12305,12313) = 151511465

Properties of LCM 12305 and 12313

(i) The LCM of 12313 and 12305 is associative

LCM of 12305 and 12313 = LCM of 12313 and 12305

Frequently Asked Questions on LCM of 12305 and 12313

1. What is the LCM of 12305 and 12313?

Answer: LCM of 12305 and 12313 is 151511465.

2. What are the Factors of 12305?

Answer: Factors of 12305 are 1, 5, 23, 107, 115, 535, 2461, 12305. There are 8 integers that are factors of 12305. The greatest factor of 12305 is 12305.

3. What are the Factors of 12313?

Answer: Factors of 12313 are 1, 7, 1759, 12313. There are 4 integers that are factors of 12313. The greatest factor of 12313 is 12313.

4. How to Find the LCM of 12305 and 12313?

Answer:

Least Common Multiple of 12305 and 12313 = 151511465

Step 1: Find the prime factorization of 12305

12305 = 5 x 23 x 107

Step 2: Find the prime factorization of 12313

12313 = 7 x 1759

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

LCM = 151511465 = 5 x 7 x 23 x 107 x 1759

Step 4: Therefore, the least common multiple of 12305 and 12313 is 151511465.