Least Common Multiple of 1617 and 1624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1617 and 1624 the smallest integer that is 375144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1617 and 1624 is 375144.

LCM(1617,1624) = 375144

LCM of 1617 and 1624

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

LCM of:
and

Least Common Multiple of 1617 and 1624

LCM of 1617 and 1624 is 375144

Least common multiple can be found by multiplying the highest exponent prime factors of 1617 and 1624. First we will calculate the prime factors of 1617 and 1624.

Prime Factorization of 1617


3 1617
7 539
7 77
11 11
1

Prime factors of 1617 are 3, 7,11. Prime factorization of 1617 in exponential form is:

1617 = 31×72×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1617 and 1624.

LCM(1617,1624) = 23×31×72×111×291
LCM(1617,1624) = 375144

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617

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

Least Common Multiple of 1617 and 1624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1617 and 1624, than apply into the LCM equation.

GCF(1617,1624) = 7
LCM(1617,1624) = ( 1617 × 1624) / 7
LCM(1617,1624) = 2626008 / 7
LCM(1617,1624) = 375144

Properties of LCM 1617 and 1624

(i) The LCM of 1624 and 1617 is associative

LCM of 1617 and 1624 = LCM of 1624 and 1617

Related Least Common Multiples of 1617

Related Least Common Multiples of 1624

Frequently Asked Questions on LCM of 1617 and 1624

1. What is the LCM of 1617 and 1624?

Answer: LCM of 1617 and 1624 is 375144.

2. What are the Factors of 1617?

Answer: Factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617. There are 12 integers that are factors of 1617. The greatest factor of 1617 is 1617.

3. 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.

4. How to Find the LCM of 1617 and 1624?

Answer:

Least Common Multiple of 1617 and 1624 = 375144

Step 1: Find the prime factorization of 1617

1617 = 3 x 7 x 7 x 11

Step 2: Find the prime factorization of 1624

1624 = 2 x 2 x 2 x 7 x 29

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

LCM = 375144 = 2 x 2 x 2 x 3 x 7 x 7 x 11 x 29

Step 4: Therefore, the least common multiple of 1617 and 1624 is 375144.