Least Common Multiple of 7422 and 7427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7422 and 7427 the smallest integer that is 55123194 that is divisible by both numbers.

Least Common Multiple (LCM) of 7422 and 7427 is 55123194.

LCM(7422,7427) = 55123194

LCM of 7422 and 7427

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

LCM of:
and

Least Common Multiple of 7422 and 7427

LCM of 7422 and 7427 is 55123194

Least common multiple can be found by multiplying the highest exponent prime factors of 7422 and 7427. First we will calculate the prime factors of 7422 and 7427.

Prime Factorization of 7422


2 7422
3 3711
1237 1237
1

Prime factors of 7422 are 2, 3,1237. Prime factorization of 7422 in exponential form is:

7422 = 21×31×12371

Prime Factorization of 7427


7 7427
1061 1061
1

Prime factors of 7427 are 7,1061. Prime factorization of 7427 in exponential form is:

7427 = 71×10611

Now multiplying the highest exponent prime factors to calculate the LCM of 7422 and 7427.

LCM(7422,7427) = 21×31×71×10611×12371
LCM(7422,7427) = 55123194

Factors of 7422

List of positive integer factors of 7422 that divides 7422 without a remainder.

1, 2, 3, 6, 1237, 2474, 3711, 7422

Factors of 7427

List of positive integer factors of 7427 that divides 7427 without a remainder.

1, 7, 1061, 7427

Least Common Multiple of 7422 and 7427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7422 and 7427, than apply into the LCM equation.

GCF(7422,7427) = 1
LCM(7422,7427) = ( 7422 × 7427) / 1
LCM(7422,7427) = 55123194 / 1
LCM(7422,7427) = 55123194

Properties of LCM 7422 and 7427

(i) The LCM of 7427 and 7422 is associative

LCM of 7422 and 7427 = LCM of 7427 and 7422

Related Least Common Multiples of 7422

Related Least Common Multiples of 7427

Frequently Asked Questions on LCM of 7422 and 7427

1. What is the LCM of 7422 and 7427?

Answer: LCM of 7422 and 7427 is 55123194.

2. What are the Factors of 7422?

Answer: Factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422. There are 8 integers that are factors of 7422. The greatest factor of 7422 is 7422.

3. What are the Factors of 7427?

Answer: Factors of 7427 are 1, 7, 1061, 7427. There are 4 integers that are factors of 7427. The greatest factor of 7427 is 7427.

4. How to Find the LCM of 7422 and 7427?

Answer:

Least Common Multiple of 7422 and 7427 = 55123194

Step 1: Find the prime factorization of 7422

7422 = 2 x 3 x 1237

Step 2: Find the prime factorization of 7427

7427 = 7 x 1061

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

LCM = 55123194 = 2 x 3 x 7 x 1061 x 1237

Step 4: Therefore, the least common multiple of 7422 and 7427 is 55123194.