Least Common Multiple of 4601 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 4601 and 4608 the smallest integer that is 21201408 that is divisible by both numbers.

Least Common Multiple (LCM) of 4601 and 4608 is 21201408.

LCM(4601,4608) = 21201408

LCM of 4601 and 4608

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

LCM of:
and

Least Common Multiple of 4601 and 4608

LCM of 4601 and 4608 is 21201408

Least common multiple can be found by multiplying the highest exponent prime factors of 4601 and 4608. First we will calculate the prime factors of 4601 and 4608.

Prime Factorization of 4601


43 4601
107 107
1

Prime factors of 4601 are 43,107. Prime factorization of 4601 in exponential form is:

4601 = 431×1071

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 4601 and 4608.

LCM(4601,4608) = 29×32×431×1071
LCM(4601,4608) = 21201408

Factors of 4601

List of positive integer factors of 4601 that divides 4601 without a remainder.

1, 43, 107, 4601

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 4601 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 4601 and 4608, than apply into the LCM equation.

GCF(4601,4608) = 1
LCM(4601,4608) = ( 4601 × 4608) / 1
LCM(4601,4608) = 21201408 / 1
LCM(4601,4608) = 21201408

Properties of LCM 4601 and 4608

(i) The LCM of 4608 and 4601 is associative

LCM of 4601 and 4608 = LCM of 4608 and 4601

Related Least Common Multiples of 4601

Related Least Common Multiples of 4608

Frequently Asked Questions on LCM of 4601 and 4608

1. What is the LCM of 4601 and 4608?

Answer: LCM of 4601 and 4608 is 21201408.

2. What are the Factors of 4601?

Answer: Factors of 4601 are 1, 43, 107, 4601. There are 4 integers that are factors of 4601. The greatest factor of 4601 is 4601.

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 4601 and 4608?

Answer:

Least Common Multiple of 4601 and 4608 = 21201408

Step 1: Find the prime factorization of 4601

4601 = 43 x 107

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 = 21201408 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 43 x 107

Step 4: Therefore, the least common multiple of 4601 and 4608 is 21201408.