Least Common Multiple of 1424 and 1430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1424 and 1430 the smallest integer that is 1018160 that is divisible by both numbers.

Least Common Multiple (LCM) of 1424 and 1430 is 1018160.

LCM(1424,1430) = 1018160

LCM of 1424 and 1430

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

LCM of:
and

Least Common Multiple of 1424 and 1430

LCM of 1424 and 1430 is 1018160

Least common multiple can be found by multiplying the highest exponent prime factors of 1424 and 1430. First we will calculate the prime factors of 1424 and 1430.

Prime Factorization of 1424


2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 1424 are 2,89. Prime factorization of 1424 in exponential form is:

1424 = 24×891

Prime Factorization of 1430


2 1430
5 715
11 143
13 13
1

Prime factors of 1430 are 2, 5, 11,13. Prime factorization of 1430 in exponential form is:

1430 = 21×51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1424 and 1430.

LCM(1424,1430) = 24×51×111×131×891
LCM(1424,1430) = 1018160

Factors of 1424

List of positive integer factors of 1424 that divides 1424 without a remainder.

1, 2, 4, 8, 16, 89, 178, 356, 712, 1424

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430

Least Common Multiple of 1424 and 1430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1424 and 1430, than apply into the LCM equation.

GCF(1424,1430) = 2
LCM(1424,1430) = ( 1424 × 1430) / 2
LCM(1424,1430) = 2036320 / 2
LCM(1424,1430) = 1018160

Properties of LCM 1424 and 1430

(i) The LCM of 1430 and 1424 is associative

LCM of 1424 and 1430 = LCM of 1430 and 1424

Related Least Common Multiples of 1424

Related Least Common Multiples of 1430

Frequently Asked Questions on LCM of 1424 and 1430

1. What is the LCM of 1424 and 1430?

Answer: LCM of 1424 and 1430 is 1018160.

2. What are the Factors of 1424?

Answer: Factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424. There are 10 integers that are factors of 1424. The greatest factor of 1424 is 1424.

3. What are the Factors of 1430?

Answer: Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430. There are 16 integers that are factors of 1430. The greatest factor of 1430 is 1430.

4. How to Find the LCM of 1424 and 1430?

Answer:

Least Common Multiple of 1424 and 1430 = 1018160

Step 1: Find the prime factorization of 1424

1424 = 2 x 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 1430

1430 = 2 x 5 x 11 x 13

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

LCM = 1018160 = 2 x 2 x 2 x 2 x 5 x 11 x 13 x 89

Step 4: Therefore, the least common multiple of 1424 and 1430 is 1018160.