Least Common Multiple of 629 and 632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 629 and 632 the smallest integer that is 397528 that is divisible by both numbers.

Least Common Multiple (LCM) of 629 and 632 is 397528.

LCM(629,632) = 397528

LCM of 629 and 632

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

LCM of:
and

Least Common Multiple of 629 and 632

LCM of 629 and 632 is 397528

Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 632. First we will calculate the prime factors of 629 and 632.

Prime Factorization of 629


17 629
37 37
1

Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:

629 = 171×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 629 and 632.

LCM(629,632) = 23×171×371×791
LCM(629,632) = 397528

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Factors of 632

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

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

Least Common Multiple of 629 and 632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 629 and 632, than apply into the LCM equation.

GCF(629,632) = 1
LCM(629,632) = ( 629 × 632) / 1
LCM(629,632) = 397528 / 1
LCM(629,632) = 397528

Properties of LCM 629 and 632

(i) The LCM of 632 and 629 is associative

LCM of 629 and 632 = LCM of 632 and 629

Related Least Common Multiples of 629

Related Least Common Multiples of 632

Frequently Asked Questions on LCM of 629 and 632

1. What is the LCM of 629 and 632?

Answer: LCM of 629 and 632 is 397528.

2. What are the Factors of 629?

Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.

3. 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.

4. How to Find the LCM of 629 and 632?

Answer:

Least Common Multiple of 629 and 632 = 397528

Step 1: Find the prime factorization of 629

629 = 17 x 37

Step 2: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

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

LCM = 397528 = 2 x 2 x 2 x 17 x 37 x 79

Step 4: Therefore, the least common multiple of 629 and 632 is 397528.