Least Common Multiple of 4601 and 4609

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 4609 the smallest integer that is 21206009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4601 and 4609 is 21206009.

LCM(4601,4609) = 21206009

LCM of 4601 and 4609

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

LCM of:
and

Least Common Multiple of 4601 and 4609

LCM of 4601 and 4609 is 21206009

Least common multiple can be found by multiplying the highest exponent prime factors of 4601 and 4609. First we will calculate the prime factors of 4601 and 4609.

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 4609


11 4609
419 419
1

Prime factors of 4609 are 11,419. Prime factorization of 4609 in exponential form is:

4609 = 111×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 4601 and 4609.

LCM(4601,4609) = 111×431×1071×4191
LCM(4601,4609) = 21206009

Factors of 4601

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

1, 43, 107, 4601

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1, 11, 419, 4609

Least Common Multiple of 4601 and 4609 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 4609, than apply into the LCM equation.

GCF(4601,4609) = 1
LCM(4601,4609) = ( 4601 × 4609) / 1
LCM(4601,4609) = 21206009 / 1
LCM(4601,4609) = 21206009

Properties of LCM 4601 and 4609

(i) The LCM of 4609 and 4601 is associative

LCM of 4601 and 4609 = LCM of 4609 and 4601

Related Least Common Multiples of 4601

Related Least Common Multiples of 4609

Frequently Asked Questions on LCM of 4601 and 4609

1. What is the LCM of 4601 and 4609?

Answer: LCM of 4601 and 4609 is 21206009.

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 4609?

Answer: Factors of 4609 are 1, 11, 419, 4609. There are 4 integers that are factors of 4609. The greatest factor of 4609 is 4609.

4. How to Find the LCM of 4601 and 4609?

Answer:

Least Common Multiple of 4601 and 4609 = 21206009

Step 1: Find the prime factorization of 4601

4601 = 43 x 107

Step 2: Find the prime factorization of 4609

4609 = 11 x 419

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

LCM = 21206009 = 11 x 43 x 107 x 419

Step 4: Therefore, the least common multiple of 4601 and 4609 is 21206009.