Least Common Multiple of 1624 and 1631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1624 and 1631 the smallest integer that is 378392 that is divisible by both numbers.

Least Common Multiple (LCM) of 1624 and 1631 is 378392.

LCM(1624,1631) = 378392

LCM of 1624 and 1631

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

LCM of:
and

Least Common Multiple of 1624 and 1631

LCM of 1624 and 1631 is 378392

Least common multiple can be found by multiplying the highest exponent prime factors of 1624 and 1631. First we will calculate the prime factors of 1624 and 1631.

Prime Factorization of 1624


2 1624
2 812
2 406
7 203
29 29
1

Prime factors of 1624 are 2, 7,29. Prime factorization of 1624 in exponential form is:

1624 = 23×71×291

Prime Factorization of 1631


7 1631
233 233
1

Prime factors of 1631 are 7,233. Prime factorization of 1631 in exponential form is:

1631 = 71×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 1624 and 1631.

LCM(1624,1631) = 23×71×291×2331
LCM(1624,1631) = 378392

Factors of 1624

List of positive integer factors of 1624 that divides 1624 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624

Factors of 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1, 7, 233, 1631

Least Common Multiple of 1624 and 1631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1624 and 1631, than apply into the LCM equation.

GCF(1624,1631) = 7
LCM(1624,1631) = ( 1624 × 1631) / 7
LCM(1624,1631) = 2648744 / 7
LCM(1624,1631) = 378392

Properties of LCM 1624 and 1631

(i) The LCM of 1631 and 1624 is associative

LCM of 1624 and 1631 = LCM of 1631 and 1624

Related Least Common Multiples of 1624

Related Least Common Multiples of 1631

Frequently Asked Questions on LCM of 1624 and 1631

1. What is the LCM of 1624 and 1631?

Answer: LCM of 1624 and 1631 is 378392.

2. What are the Factors of 1624?

Answer: Factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624. There are 16 integers that are factors of 1624. The greatest factor of 1624 is 1624.

3. What are the Factors of 1631?

Answer: Factors of 1631 are 1, 7, 233, 1631. There are 4 integers that are factors of 1631. The greatest factor of 1631 is 1631.

4. How to Find the LCM of 1624 and 1631?

Answer:

Least Common Multiple of 1624 and 1631 = 378392

Step 1: Find the prime factorization of 1624

1624 = 2 x 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 1631

1631 = 7 x 233

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

LCM = 378392 = 2 x 2 x 2 x 7 x 29 x 233

Step 4: Therefore, the least common multiple of 1624 and 1631 is 378392.