Least Common Multiple of 1416 and 1423

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 1423 the smallest integer that is 2014968 that is divisible by both numbers.

Least Common Multiple (LCM) of 1416 and 1423 is 2014968.

LCM(1416,1423) = 2014968

LCM of 1416 and 1423

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

LCM of:
and

Least Common Multiple of 1416 and 1423

LCM of 1416 and 1423 is 2014968

Least common multiple can be found by multiplying the highest exponent prime factors of 1416 and 1423. First we will calculate the prime factors of 1416 and 1423.

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 1423


1423 1423
1

Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:

1423 = 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 1416 and 1423.

LCM(1416,1423) = 23×31×591×14231
LCM(1416,1423) = 2014968

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 1423

List of positive integer factors of 1423 that divides 1423 without a remainder.

1, 1423

Least Common Multiple of 1416 and 1423 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 1423, than apply into the LCM equation.

GCF(1416,1423) = 1
LCM(1416,1423) = ( 1416 × 1423) / 1
LCM(1416,1423) = 2014968 / 1
LCM(1416,1423) = 2014968

Properties of LCM 1416 and 1423

(i) The LCM of 1423 and 1416 is associative

LCM of 1416 and 1423 = LCM of 1423 and 1416

Related Least Common Multiples of 1416

Related Least Common Multiples of 1423

Frequently Asked Questions on LCM of 1416 and 1423

1. What is the LCM of 1416 and 1423?

Answer: LCM of 1416 and 1423 is 2014968.

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 1423?

Answer: Factors of 1423 are 1, 1423. There are 2 integers that are factors of 1423. The greatest factor of 1423 is 1423.

4. How to Find the LCM of 1416 and 1423?

Answer:

Least Common Multiple of 1416 and 1423 = 2014968

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 1423

1423 = 1423

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

LCM = 2014968 = 2 x 2 x 2 x 3 x 59 x 1423

Step 4: Therefore, the least common multiple of 1416 and 1423 is 2014968.