Least Common Multiple of 4602 and 4608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4602 and 4608 the smallest integer that is 3534336 that is divisible by both numbers.

Least Common Multiple (LCM) of 4602 and 4608 is 3534336.

LCM(4602,4608) = 3534336

LCM of 4602 and 4608

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

LCM of:
and

Least Common Multiple of 4602 and 4608

LCM of 4602 and 4608 is 3534336

Least common multiple can be found by multiplying the highest exponent prime factors of 4602 and 4608. First we will calculate the prime factors of 4602 and 4608.

Prime Factorization of 4602


2 4602
3 2301
13 767
59 59
1

Prime factors of 4602 are 2, 3, 13,59. Prime factorization of 4602 in exponential form is:

4602 = 21×31×131×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4602 and 4608.

LCM(4602,4608) = 29×32×131×591
LCM(4602,4608) = 3534336

Factors of 4602

List of positive integer factors of 4602 that divides 4602 without a remainder.

1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602

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

Least Common Multiple of 4602 and 4608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4602 and 4608, than apply into the LCM equation.

GCF(4602,4608) = 6
LCM(4602,4608) = ( 4602 × 4608) / 6
LCM(4602,4608) = 21206016 / 6
LCM(4602,4608) = 3534336

Properties of LCM 4602 and 4608

(i) The LCM of 4608 and 4602 is associative

LCM of 4602 and 4608 = LCM of 4608 and 4602

Related Least Common Multiples of 4602

Related Least Common Multiples of 4608

Frequently Asked Questions on LCM of 4602 and 4608

1. What is the LCM of 4602 and 4608?

Answer: LCM of 4602 and 4608 is 3534336.

2. What are the Factors of 4602?

Answer: Factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602. There are 16 integers that are factors of 4602. The greatest factor of 4602 is 4602.

3. 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.

4. How to Find the LCM of 4602 and 4608?

Answer:

Least Common Multiple of 4602 and 4608 = 3534336

Step 1: Find the prime factorization of 4602

4602 = 2 x 3 x 13 x 59

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3534336 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 59

Step 4: Therefore, the least common multiple of 4602 and 4608 is 3534336.