Least Common Multiple of 12312 and 12319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12312 and 12319 the smallest integer that is 151671528 that is divisible by both numbers.

Least Common Multiple (LCM) of 12312 and 12319 is 151671528.

LCM(12312,12319) = 151671528

LCM of 12312 and 12319

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

LCM of:
and

Least Common Multiple of 12312 and 12319

LCM of 12312 and 12319 is 151671528

Least common multiple can be found by multiplying the highest exponent prime factors of 12312 and 12319. First we will calculate the prime factors of 12312 and 12319.

Prime Factorization of 12312


2 12312
2 6156
2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 12312 are 2, 3,19. Prime factorization of 12312 in exponential form is:

12312 = 23×34×191

Prime Factorization of 12319


97 12319
127 127
1

Prime factors of 12319 are 97,127. Prime factorization of 12319 in exponential form is:

12319 = 971×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12312 and 12319.

LCM(12312,12319) = 23×34×191×971×1271
LCM(12312,12319) = 151671528

Factors of 12312

List of positive integer factors of 12312 that divides 12312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 81, 108, 114, 152, 162, 171, 216, 228, 324, 342, 456, 513, 648, 684, 1026, 1368, 1539, 2052, 3078, 4104, 6156, 12312

Factors of 12319

List of positive integer factors of 12319 that divides 12319 without a remainder.

1, 97, 127, 12319

Least Common Multiple of 12312 and 12319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12312 and 12319, than apply into the LCM equation.

GCF(12312,12319) = 1
LCM(12312,12319) = ( 12312 × 12319) / 1
LCM(12312,12319) = 151671528 / 1
LCM(12312,12319) = 151671528

Properties of LCM 12312 and 12319

(i) The LCM of 12319 and 12312 is associative

LCM of 12312 and 12319 = LCM of 12319 and 12312

Related Least Common Multiples of 12312

Related Least Common Multiples of 12319

Frequently Asked Questions on LCM of 12312 and 12319

1. What is the LCM of 12312 and 12319?

Answer: LCM of 12312 and 12319 is 151671528.

2. What are the Factors of 12312?

Answer: Factors of 12312 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 81, 108, 114, 152, 162, 171, 216, 228, 324, 342, 456, 513, 648, 684, 1026, 1368, 1539, 2052, 3078, 4104, 6156, 12312. There are 40 integers that are factors of 12312. The greatest factor of 12312 is 12312.

3. What are the Factors of 12319?

Answer: Factors of 12319 are 1, 97, 127, 12319. There are 4 integers that are factors of 12319. The greatest factor of 12319 is 12319.

4. How to Find the LCM of 12312 and 12319?

Answer:

Least Common Multiple of 12312 and 12319 = 151671528

Step 1: Find the prime factorization of 12312

12312 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 12319

12319 = 97 x 127

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

LCM = 151671528 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19 x 97 x 127

Step 4: Therefore, the least common multiple of 12312 and 12319 is 151671528.