Least Common Multiple of 4617 and 4624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4617 and 4624 the smallest integer that is 21349008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4617 and 4624 is 21349008.

LCM(4617,4624) = 21349008

LCM of 4617 and 4624

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

LCM of:
and

Least Common Multiple of 4617 and 4624

LCM of 4617 and 4624 is 21349008

Least common multiple can be found by multiplying the highest exponent prime factors of 4617 and 4624. First we will calculate the prime factors of 4617 and 4624.

Prime Factorization of 4617


3 4617
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 4617 are 3,19. Prime factorization of 4617 in exponential form is:

4617 = 35×191

Prime Factorization of 4624


2 4624
2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 4624 are 2,17. Prime factorization of 4624 in exponential form is:

4624 = 24×172

Now multiplying the highest exponent prime factors to calculate the LCM of 4617 and 4624.

LCM(4617,4624) = 24×35×172×191
LCM(4617,4624) = 21349008

Factors of 4617

List of positive integer factors of 4617 that divides 4617 without a remainder.

1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617

Factors of 4624

List of positive integer factors of 4624 that divides 4624 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624

Least Common Multiple of 4617 and 4624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4617 and 4624, than apply into the LCM equation.

GCF(4617,4624) = 1
LCM(4617,4624) = ( 4617 × 4624) / 1
LCM(4617,4624) = 21349008 / 1
LCM(4617,4624) = 21349008

Properties of LCM 4617 and 4624

(i) The LCM of 4624 and 4617 is associative

LCM of 4617 and 4624 = LCM of 4624 and 4617

Related Least Common Multiples of 4617

Related Least Common Multiples of 4624

Frequently Asked Questions on LCM of 4617 and 4624

1. What is the LCM of 4617 and 4624?

Answer: LCM of 4617 and 4624 is 21349008.

2. What are the Factors of 4617?

Answer: Factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617. There are 12 integers that are factors of 4617. The greatest factor of 4617 is 4617.

3. What are the Factors of 4624?

Answer: Factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624. There are 15 integers that are factors of 4624. The greatest factor of 4624 is 4624.

4. How to Find the LCM of 4617 and 4624?

Answer:

Least Common Multiple of 4617 and 4624 = 21349008

Step 1: Find the prime factorization of 4617

4617 = 3 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 4624

4624 = 2 x 2 x 2 x 2 x 17 x 17

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

LCM = 21349008 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 17 x 17 x 19

Step 4: Therefore, the least common multiple of 4617 and 4624 is 21349008.