Least Common Multiple of 632 and 639

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 639 the smallest integer that is 403848 that is divisible by both numbers.

Least Common Multiple (LCM) of 632 and 639 is 403848.

LCM(632,639) = 403848

LCM of 632 and 639

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

LCM of:
and

Least Common Multiple of 632 and 639

LCM of 632 and 639 is 403848

Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 639. First we will calculate the prime factors of 632 and 639.

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 639


3 639
3 213
71 71
1

Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:

639 = 32×711

Now multiplying the highest exponent prime factors to calculate the LCM of 632 and 639.

LCM(632,639) = 23×32×711×791
LCM(632,639) = 403848

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 639

List of positive integer factors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Least Common Multiple of 632 and 639 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 639, than apply into the LCM equation.

GCF(632,639) = 1
LCM(632,639) = ( 632 × 639) / 1
LCM(632,639) = 403848 / 1
LCM(632,639) = 403848

Properties of LCM 632 and 639

(i) The LCM of 639 and 632 is associative

LCM of 632 and 639 = LCM of 639 and 632

Related Least Common Multiples of 632

Related Least Common Multiples of 639

Frequently Asked Questions on LCM of 632 and 639

1. What is the LCM of 632 and 639?

Answer: LCM of 632 and 639 is 403848.

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 639?

Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.

4. How to Find the LCM of 632 and 639?

Answer:

Least Common Multiple of 632 and 639 = 403848

Step 1: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

Step 2: Find the prime factorization of 639

639 = 3 x 3 x 71

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

LCM = 403848 = 2 x 2 x 2 x 3 x 3 x 71 x 79

Step 4: Therefore, the least common multiple of 632 and 639 is 403848.