Least Common Multiple of 1416 and 1424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1416 and 1424 the smallest integer that is 252048 that is divisible by both numbers.

Least Common Multiple (LCM) of 1416 and 1424 is 252048.

LCM(1416,1424) = 252048

LCM of 1416 and 1424

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

LCM of:
and

Least Common Multiple of 1416 and 1424

LCM of 1416 and 1424 is 252048

Least common multiple can be found by multiplying the highest exponent prime factors of 1416 and 1424. First we will calculate the prime factors of 1416 and 1424.

Prime Factorization of 1416


2 1416
2 708
2 354
3 177
59 59
1

Prime factors of 1416 are 2, 3,59. Prime factorization of 1416 in exponential form is:

1416 = 23×31×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1416 and 1424.

LCM(1416,1424) = 24×31×591×891
LCM(1416,1424) = 252048

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416

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

Least Common Multiple of 1416 and 1424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1416 and 1424, than apply into the LCM equation.

GCF(1416,1424) = 8
LCM(1416,1424) = ( 1416 × 1424) / 8
LCM(1416,1424) = 2016384 / 8
LCM(1416,1424) = 252048

Properties of LCM 1416 and 1424

(i) The LCM of 1424 and 1416 is associative

LCM of 1416 and 1424 = LCM of 1424 and 1416

Related Least Common Multiples of 1416

Related Least Common Multiples of 1424

Frequently Asked Questions on LCM of 1416 and 1424

1. What is the LCM of 1416 and 1424?

Answer: LCM of 1416 and 1424 is 252048.

2. What are the Factors of 1416?

Answer: Factors of 1416 are 1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416. There are 16 integers that are factors of 1416. The greatest factor of 1416 is 1416.

3. 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.

4. How to Find the LCM of 1416 and 1424?

Answer:

Least Common Multiple of 1416 and 1424 = 252048

Step 1: Find the prime factorization of 1416

1416 = 2 x 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 1424

1424 = 2 x 2 x 2 x 2 x 89

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

LCM = 252048 = 2 x 2 x 2 x 2 x 3 x 59 x 89

Step 4: Therefore, the least common multiple of 1416 and 1424 is 252048.