Least Common Multiple of 9419 and 9427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9419 and 9427 the smallest integer that is 88792913 that is divisible by both numbers.

Least Common Multiple (LCM) of 9419 and 9427 is 88792913.

LCM(9419,9427) = 88792913

LCM of 9419 and 9427

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

LCM of:
and

Least Common Multiple of 9419 and 9427

LCM of 9419 and 9427 is 88792913

Least common multiple can be found by multiplying the highest exponent prime factors of 9419 and 9427. First we will calculate the prime factors of 9419 and 9427.

Prime Factorization of 9419


9419 9419
1

Prime factors of 9419 are 9419. Prime factorization of 9419 in exponential form is:

9419 = 94191

Prime Factorization of 9427


11 9427
857 857
1

Prime factors of 9427 are 11,857. Prime factorization of 9427 in exponential form is:

9427 = 111×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 9419 and 9427.

LCM(9419,9427) = 111×8571×94191
LCM(9419,9427) = 88792913

Factors of 9419

List of positive integer factors of 9419 that divides 9419 without a remainder.

1, 9419

Factors of 9427

List of positive integer factors of 9427 that divides 9427 without a remainder.

1, 11, 857, 9427

Least Common Multiple of 9419 and 9427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9419 and 9427, than apply into the LCM equation.

GCF(9419,9427) = 1
LCM(9419,9427) = ( 9419 × 9427) / 1
LCM(9419,9427) = 88792913 / 1
LCM(9419,9427) = 88792913

Properties of LCM 9419 and 9427

(i) The LCM of 9427 and 9419 is associative

LCM of 9419 and 9427 = LCM of 9427 and 9419

Related Least Common Multiples of 9419

Related Least Common Multiples of 9427

Frequently Asked Questions on LCM of 9419 and 9427

1. What is the LCM of 9419 and 9427?

Answer: LCM of 9419 and 9427 is 88792913.

2. What are the Factors of 9419?

Answer: Factors of 9419 are 1, 9419. There are 2 integers that are factors of 9419. The greatest factor of 9419 is 9419.

3. What are the Factors of 9427?

Answer: Factors of 9427 are 1, 11, 857, 9427. There are 4 integers that are factors of 9427. The greatest factor of 9427 is 9427.

4. How to Find the LCM of 9419 and 9427?

Answer:

Least Common Multiple of 9419 and 9427 = 88792913

Step 1: Find the prime factorization of 9419

9419 = 9419

Step 2: Find the prime factorization of 9427

9427 = 11 x 857

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

LCM = 88792913 = 11 x 857 x 9419

Step 4: Therefore, the least common multiple of 9419 and 9427 is 88792913.