Least Common Multiple of 632 and 636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 632 and 636 the smallest integer that is 100488 that is divisible by both numbers.

Least Common Multiple (LCM) of 632 and 636 is 100488.

LCM(632,636) = 100488

LCM of 632 and 636

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

LCM of:
and

Least Common Multiple of 632 and 636

LCM of 632 and 636 is 100488

Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 636. First we will calculate the prime factors of 632 and 636.

Prime Factorization of 632


2 632
2 316
2 158
79 79
1

Prime factors of 632 are 2,79. Prime factorization of 632 in exponential form is:

632 = 23×791

Prime Factorization of 636


2 636
2 318
3 159
53 53
1

Prime factors of 636 are 2, 3,53. Prime factorization of 636 in exponential form is:

636 = 22×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 632 and 636.

LCM(632,636) = 23×31×531×791
LCM(632,636) = 100488

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Least Common Multiple of 632 and 636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 632 and 636, than apply into the LCM equation.

GCF(632,636) = 4
LCM(632,636) = ( 632 × 636) / 4
LCM(632,636) = 401952 / 4
LCM(632,636) = 100488

Properties of LCM 632 and 636

(i) The LCM of 636 and 632 is associative

LCM of 632 and 636 = LCM of 636 and 632

Related Least Common Multiples of 632

Related Least Common Multiples of 636

Frequently Asked Questions on LCM of 632 and 636

1. What is the LCM of 632 and 636?

Answer: LCM of 632 and 636 is 100488.

2. What are the Factors of 632?

Answer: Factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632. There are 8 integers that are factors of 632. The greatest factor of 632 is 632.

3. What are the Factors of 636?

Answer: Factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636. There are 12 integers that are factors of 636. The greatest factor of 636 is 636.

4. How to Find the LCM of 632 and 636?

Answer:

Least Common Multiple of 632 and 636 = 100488

Step 1: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

Step 2: Find the prime factorization of 636

636 = 2 x 2 x 3 x 53

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

LCM = 100488 = 2 x 2 x 2 x 3 x 53 x 79

Step 4: Therefore, the least common multiple of 632 and 636 is 100488.