Least Common Multiple of 4632 and 4637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4632 and 4637 the smallest integer that is 21478584 that is divisible by both numbers.

Least Common Multiple (LCM) of 4632 and 4637 is 21478584.

LCM(4632,4637) = 21478584

LCM of 4632 and 4637

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

LCM of:
and

Least Common Multiple of 4632 and 4637

LCM of 4632 and 4637 is 21478584

Least common multiple can be found by multiplying the highest exponent prime factors of 4632 and 4637. First we will calculate the prime factors of 4632 and 4637.

Prime Factorization of 4632


2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 4632 are 2, 3,193. Prime factorization of 4632 in exponential form is:

4632 = 23×31×1931

Prime Factorization of 4637


4637 4637
1

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

4637 = 46371

Now multiplying the highest exponent prime factors to calculate the LCM of 4632 and 4637.

LCM(4632,4637) = 23×31×1931×46371
LCM(4632,4637) = 21478584

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632

Factors of 4637

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

1, 4637

Least Common Multiple of 4632 and 4637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4632 and 4637, than apply into the LCM equation.

GCF(4632,4637) = 1
LCM(4632,4637) = ( 4632 × 4637) / 1
LCM(4632,4637) = 21478584 / 1
LCM(4632,4637) = 21478584

Properties of LCM 4632 and 4637

(i) The LCM of 4637 and 4632 is associative

LCM of 4632 and 4637 = LCM of 4637 and 4632

Related Least Common Multiples of 4632

Related Least Common Multiples of 4637

Frequently Asked Questions on LCM of 4632 and 4637

1. What is the LCM of 4632 and 4637?

Answer: LCM of 4632 and 4637 is 21478584.

2. What are the Factors of 4632?

Answer: Factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632. There are 16 integers that are factors of 4632. The greatest factor of 4632 is 4632.

3. 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.

4. How to Find the LCM of 4632 and 4637?

Answer:

Least Common Multiple of 4632 and 4637 = 21478584

Step 1: Find the prime factorization of 4632

4632 = 2 x 2 x 2 x 3 x 193

Step 2: Find the prime factorization of 4637

4637 = 4637

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

LCM = 21478584 = 2 x 2 x 2 x 3 x 193 x 4637

Step 4: Therefore, the least common multiple of 4632 and 4637 is 21478584.