Least Common Multiple of 4612 and 4617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4612 and 4617 the smallest integer that is 21293604 that is divisible by both numbers.

Least Common Multiple (LCM) of 4612 and 4617 is 21293604.

LCM(4612,4617) = 21293604

LCM of 4612 and 4617

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

LCM of:
and

Least Common Multiple of 4612 and 4617

LCM of 4612 and 4617 is 21293604

Least common multiple can be found by multiplying the highest exponent prime factors of 4612 and 4617. First we will calculate the prime factors of 4612 and 4617.

Prime Factorization of 4612


2 4612
2 2306
1153 1153
1

Prime factors of 4612 are 2,1153. Prime factorization of 4612 in exponential form is:

4612 = 22×11531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4612 and 4617.

LCM(4612,4617) = 22×35×191×11531
LCM(4612,4617) = 21293604

Factors of 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1, 2, 4, 1153, 2306, 4612

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

Least Common Multiple of 4612 and 4617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4612 and 4617, than apply into the LCM equation.

GCF(4612,4617) = 1
LCM(4612,4617) = ( 4612 × 4617) / 1
LCM(4612,4617) = 21293604 / 1
LCM(4612,4617) = 21293604

Properties of LCM 4612 and 4617

(i) The LCM of 4617 and 4612 is associative

LCM of 4612 and 4617 = LCM of 4617 and 4612

Related Least Common Multiples of 4612

Related Least Common Multiples of 4617

Frequently Asked Questions on LCM of 4612 and 4617

1. What is the LCM of 4612 and 4617?

Answer: LCM of 4612 and 4617 is 21293604.

2. What are the Factors of 4612?

Answer: Factors of 4612 are 1, 2, 4, 1153, 2306, 4612. There are 6 integers that are factors of 4612. The greatest factor of 4612 is 4612.

3. 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.

4. How to Find the LCM of 4612 and 4617?

Answer:

Least Common Multiple of 4612 and 4617 = 21293604

Step 1: Find the prime factorization of 4612

4612 = 2 x 2 x 1153

Step 2: Find the prime factorization of 4617

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

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

LCM = 21293604 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 19 x 1153

Step 4: Therefore, the least common multiple of 4612 and 4617 is 21293604.