Least Common Multiple of 632 and 634

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 634 the smallest integer that is 200344 that is divisible by both numbers.

Least Common Multiple (LCM) of 632 and 634 is 200344.

LCM(632,634) = 200344

LCM of 632 and 634

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

LCM of:
and

Least Common Multiple of 632 and 634

LCM of 632 and 634 is 200344

Least common multiple can be found by multiplying the highest exponent prime factors of 632 and 634. First we will calculate the prime factors of 632 and 634.

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 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 632 and 634.

LCM(632,634) = 23×791×3171
LCM(632,634) = 200344

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 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Least Common Multiple of 632 and 634 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 634, than apply into the LCM equation.

GCF(632,634) = 2
LCM(632,634) = ( 632 × 634) / 2
LCM(632,634) = 400688 / 2
LCM(632,634) = 200344

Properties of LCM 632 and 634

(i) The LCM of 634 and 632 is associative

LCM of 632 and 634 = LCM of 634 and 632

Related Least Common Multiples of 632

Related Least Common Multiples of 634

Frequently Asked Questions on LCM of 632 and 634

1. What is the LCM of 632 and 634?

Answer: LCM of 632 and 634 is 200344.

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 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

4. How to Find the LCM of 632 and 634?

Answer:

Least Common Multiple of 632 and 634 = 200344

Step 1: Find the prime factorization of 632

632 = 2 x 2 x 2 x 79

Step 2: Find the prime factorization of 634

634 = 2 x 317

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

LCM = 200344 = 2 x 2 x 2 x 79 x 317

Step 4: Therefore, the least common multiple of 632 and 634 is 200344.