Least Common Multiple of 4637 and 4645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4637 and 4645 the smallest integer that is 21538865 that is divisible by both numbers.

Least Common Multiple (LCM) of 4637 and 4645 is 21538865.

LCM(4637,4645) = 21538865

LCM of 4637 and 4645

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

LCM of:
and

Least Common Multiple of 4637 and 4645

LCM of 4637 and 4645 is 21538865

Least common multiple can be found by multiplying the highest exponent prime factors of 4637 and 4645. First we will calculate the prime factors of 4637 and 4645.

Prime Factorization of 4637


4637 4637
1

Prime factors of 4637 are 4637. Prime factorization of 4637 in exponential form is:

4637 = 46371

Prime Factorization of 4645


5 4645
929 929
1

Prime factors of 4645 are 5,929. Prime factorization of 4645 in exponential form is:

4645 = 51×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 4637 and 4645.

LCM(4637,4645) = 51×9291×46371
LCM(4637,4645) = 21538865

Factors of 4637

List of positive integer factors of 4637 that divides 4637 without a remainder.

1, 4637

Factors of 4645

List of positive integer factors of 4645 that divides 4645 without a remainder.

1, 5, 929, 4645

Least Common Multiple of 4637 and 4645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4637 and 4645, than apply into the LCM equation.

GCF(4637,4645) = 1
LCM(4637,4645) = ( 4637 × 4645) / 1
LCM(4637,4645) = 21538865 / 1
LCM(4637,4645) = 21538865

Properties of LCM 4637 and 4645

(i) The LCM of 4645 and 4637 is associative

LCM of 4637 and 4645 = LCM of 4645 and 4637

Related Least Common Multiples of 4637

Related Least Common Multiples of 4645

Frequently Asked Questions on LCM of 4637 and 4645

1. What is the LCM of 4637 and 4645?

Answer: LCM of 4637 and 4645 is 21538865.

2. What are the Factors of 4637?

Answer: Factors of 4637 are 1, 4637. There are 2 integers that are factors of 4637. The greatest factor of 4637 is 4637.

3. What are the Factors of 4645?

Answer: Factors of 4645 are 1, 5, 929, 4645. There are 4 integers that are factors of 4645. The greatest factor of 4645 is 4645.

4. How to Find the LCM of 4637 and 4645?

Answer:

Least Common Multiple of 4637 and 4645 = 21538865

Step 1: Find the prime factorization of 4637

4637 = 4637

Step 2: Find the prime factorization of 4645

4645 = 5 x 929

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

LCM = 21538865 = 5 x 929 x 4637

Step 4: Therefore, the least common multiple of 4637 and 4645 is 21538865.