Least Common Multiple of 12417 and 12422

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 12422 the smallest integer that is 154243974 that is divisible by both numbers.

Least Common Multiple (LCM) of 12417 and 12422 is 154243974.

LCM(12417,12422) = 154243974

LCM of 12417 and 12422

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

LCM of:
and

Least Common Multiple of 12417 and 12422

LCM of 12417 and 12422 is 154243974

Least common multiple can be found by multiplying the highest exponent prime factors of 12417 and 12422. First we will calculate the prime factors of 12417 and 12422.

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 12422


2 12422
6211 6211
1

Prime factors of 12422 are 2,6211. Prime factorization of 12422 in exponential form is:

12422 = 21×62111

Now multiplying the highest exponent prime factors to calculate the LCM of 12417 and 12422.

LCM(12417,12422) = 21×31×41391×62111
LCM(12417,12422) = 154243974

Factors of 12417

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

1, 3, 4139, 12417

Factors of 12422

List of positive integer factors of 12422 that divides 12422 without a remainder.

1, 2, 6211, 12422

Least Common Multiple of 12417 and 12422 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 12422, than apply into the LCM equation.

GCF(12417,12422) = 1
LCM(12417,12422) = ( 12417 × 12422) / 1
LCM(12417,12422) = 154243974 / 1
LCM(12417,12422) = 154243974

Properties of LCM 12417 and 12422

(i) The LCM of 12422 and 12417 is associative

LCM of 12417 and 12422 = LCM of 12422 and 12417

Related Least Common Multiples of 12417

Related Least Common Multiples of 12422

Frequently Asked Questions on LCM of 12417 and 12422

1. What is the LCM of 12417 and 12422?

Answer: LCM of 12417 and 12422 is 154243974.

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 12422?

Answer: Factors of 12422 are 1, 2, 6211, 12422. There are 4 integers that are factors of 12422. The greatest factor of 12422 is 12422.

4. How to Find the LCM of 12417 and 12422?

Answer:

Least Common Multiple of 12417 and 12422 = 154243974

Step 1: Find the prime factorization of 12417

12417 = 3 x 4139

Step 2: Find the prime factorization of 12422

12422 = 2 x 6211

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

LCM = 154243974 = 2 x 3 x 4139 x 6211

Step 4: Therefore, the least common multiple of 12417 and 12422 is 154243974.