Least Common Multiple of 4608 and 4612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4608 and 4612 the smallest integer that is 5313024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4608 and 4612 is 5313024.

LCM(4608,4612) = 5313024

LCM of 4608 and 4612

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

LCM of:
and

Least Common Multiple of 4608 and 4612

LCM of 4608 and 4612 is 5313024

Least common multiple can be found by multiplying the highest exponent prime factors of 4608 and 4612. First we will calculate the prime factors of 4608 and 4612.

Prime Factorization of 4608


2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 4608 are 2,3. Prime factorization of 4608 in exponential form is:

4608 = 29×32

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4608 and 4612.

LCM(4608,4612) = 29×32×11531
LCM(4608,4612) = 5313024

Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608

Factors of 4612

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

1, 2, 4, 1153, 2306, 4612

Least Common Multiple of 4608 and 4612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4608 and 4612, than apply into the LCM equation.

GCF(4608,4612) = 4
LCM(4608,4612) = ( 4608 × 4612) / 4
LCM(4608,4612) = 21252096 / 4
LCM(4608,4612) = 5313024

Properties of LCM 4608 and 4612

(i) The LCM of 4612 and 4608 is associative

LCM of 4608 and 4612 = LCM of 4612 and 4608

Related Least Common Multiples of 4608

Related Least Common Multiples of 4612

Frequently Asked Questions on LCM of 4608 and 4612

1. What is the LCM of 4608 and 4612?

Answer: LCM of 4608 and 4612 is 5313024.

2. What are the Factors of 4608?

Answer: Factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608. There are 30 integers that are factors of 4608. The greatest factor of 4608 is 4608.

3. 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.

4. How to Find the LCM of 4608 and 4612?

Answer:

Least Common Multiple of 4608 and 4612 = 5313024

Step 1: Find the prime factorization of 4608

4608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 4612

4612 = 2 x 2 x 1153

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

LCM = 5313024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1153

Step 4: Therefore, the least common multiple of 4608 and 4612 is 5313024.