Least Common Multiple of 424 and 427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 424 and 427 the smallest integer that is 181048 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 427 is 181048.

LCM(424,427) = 181048

LCM of 424 and 427

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

LCM of:
and

Least Common Multiple of 424 and 427

LCM of 424 and 427 is 181048

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 427. First we will calculate the prime factors of 424 and 427.

Prime Factorization of 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 424 and 427.

LCM(424,427) = 23×71×531×611
LCM(424,427) = 181048

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Least Common Multiple of 424 and 427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 424 and 427, than apply into the LCM equation.

GCF(424,427) = 1
LCM(424,427) = ( 424 × 427) / 1
LCM(424,427) = 181048 / 1
LCM(424,427) = 181048

Properties of LCM 424 and 427

(i) The LCM of 427 and 424 is associative

LCM of 424 and 427 = LCM of 427 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 427

Frequently Asked Questions on LCM of 424 and 427

1. What is the LCM of 424 and 427?

Answer: LCM of 424 and 427 is 181048.

2. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

3. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

4. How to Find the LCM of 424 and 427?

Answer:

Least Common Multiple of 424 and 427 = 181048

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 427

427 = 7 x 61

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

LCM = 181048 = 2 x 2 x 2 x 7 x 53 x 61

Step 4: Therefore, the least common multiple of 424 and 427 is 181048.