Least Common Multiple of 632 and 633

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 633 the smallest integer that is 400056 that is divisible by both numbers.

Least Common Multiple (LCM) of 632 and 633 is 400056.

LCM(632,633) = 400056

LCM of 632 and 633

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

LCM of:
and

Least Common Multiple of 632 and 633

LCM of 632 and 633 is 400056

Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 633. First we will calculate the prime factors of 632 and 633.

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 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 632 and 633.

LCM(632,633) = 23×31×791×2111
LCM(632,633) = 400056

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 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Least Common Multiple of 632 and 633 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 633, than apply into the LCM equation.

GCF(632,633) = 1
LCM(632,633) = ( 632 × 633) / 1
LCM(632,633) = 400056 / 1
LCM(632,633) = 400056

Properties of LCM 632 and 633

(i) The LCM of 633 and 632 is associative

LCM of 632 and 633 = LCM of 633 and 632

Related Least Common Multiples of 632

Related Least Common Multiples of 633

Frequently Asked Questions on LCM of 632 and 633

1. What is the LCM of 632 and 633?

Answer: LCM of 632 and 633 is 400056.

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 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

4. How to Find the LCM of 632 and 633?

Answer:

Least Common Multiple of 632 and 633 = 400056

Step 1: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

Step 2: Find the prime factorization of 633

633 = 3 x 211

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

LCM = 400056 = 2 x 2 x 2 x 3 x 79 x 211

Step 4: Therefore, the least common multiple of 632 and 633 is 400056.