Least Common Multiple of 12417 and 12424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12417 and 12424 the smallest integer that is 154268808 that is divisible by both numbers.

Least Common Multiple (LCM) of 12417 and 12424 is 154268808.

LCM(12417,12424) = 154268808

LCM of 12417 and 12424

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

LCM of:
and

Least Common Multiple of 12417 and 12424

LCM of 12417 and 12424 is 154268808

Least common multiple can be found by multiplying the highest exponent prime factors of 12417 and 12424. First we will calculate the prime factors of 12417 and 12424.

Prime Factorization of 12417


3 12417
4139 4139
1

Prime factors of 12417 are 3,4139. Prime factorization of 12417 in exponential form is:

12417 = 31×41391

Prime Factorization of 12424


2 12424
2 6212
2 3106
1553 1553
1

Prime factors of 12424 are 2,1553. Prime factorization of 12424 in exponential form is:

12424 = 23×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 12417 and 12424.

LCM(12417,12424) = 23×31×15531×41391
LCM(12417,12424) = 154268808

Factors of 12417

List of positive integer factors of 12417 that divides 12417 without a remainder.

1, 3, 4139, 12417

Factors of 12424

List of positive integer factors of 12424 that divides 12424 without a remainder.

1, 2, 4, 8, 1553, 3106, 6212, 12424

Least Common Multiple of 12417 and 12424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12417 and 12424, than apply into the LCM equation.

GCF(12417,12424) = 1
LCM(12417,12424) = ( 12417 × 12424) / 1
LCM(12417,12424) = 154268808 / 1
LCM(12417,12424) = 154268808

Properties of LCM 12417 and 12424

(i) The LCM of 12424 and 12417 is associative

LCM of 12417 and 12424 = LCM of 12424 and 12417

Related Least Common Multiples of 12417

Related Least Common Multiples of 12424

Frequently Asked Questions on LCM of 12417 and 12424

1. What is the LCM of 12417 and 12424?

Answer: LCM of 12417 and 12424 is 154268808.

2. What are the Factors of 12417?

Answer: Factors of 12417 are 1, 3, 4139, 12417. There are 4 integers that are factors of 12417. The greatest factor of 12417 is 12417.

3. What are the Factors of 12424?

Answer: Factors of 12424 are 1, 2, 4, 8, 1553, 3106, 6212, 12424. There are 8 integers that are factors of 12424. The greatest factor of 12424 is 12424.

4. How to Find the LCM of 12417 and 12424?

Answer:

Least Common Multiple of 12417 and 12424 = 154268808

Step 1: Find the prime factorization of 12417

12417 = 3 x 4139

Step 2: Find the prime factorization of 12424

12424 = 2 x 2 x 2 x 1553

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

LCM = 154268808 = 2 x 2 x 2 x 3 x 1553 x 4139

Step 4: Therefore, the least common multiple of 12417 and 12424 is 154268808.