Least Common Multiple of 628 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 628 and 632 the smallest integer that is 99224 that is divisible by both numbers.

Least Common Multiple (LCM) of 628 and 632 is 99224.

LCM(628,632) = 99224

LCM of 628 and 632

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

LCM of:
and

Least Common Multiple of 628 and 632

LCM of 628 and 632 is 99224

Least common multiple can be found by multiplying the highest exponent prime factors of 628 and 632. First we will calculate the prime factors of 628 and 632.

Prime Factorization of 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

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 628 and 632.

LCM(628,632) = 23×791×1571
LCM(628,632) = 99224

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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 628 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 628 and 632, than apply into the LCM equation.

GCF(628,632) = 4
LCM(628,632) = ( 628 × 632) / 4
LCM(628,632) = 396896 / 4
LCM(628,632) = 99224

Properties of LCM 628 and 632

(i) The LCM of 632 and 628 is associative

LCM of 628 and 632 = LCM of 632 and 628

Related Least Common Multiples of 628

Related Least Common Multiples of 632

Frequently Asked Questions on LCM of 628 and 632

1. What is the LCM of 628 and 632?

Answer: LCM of 628 and 632 is 99224.

2. What are the Factors of 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

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 628 and 632?

Answer:

Least Common Multiple of 628 and 632 = 99224

Step 1: Find the prime factorization of 628

628 = 2 x 2 x 157

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 = 99224 = 2 x 2 x 2 x 79 x 157

Step 4: Therefore, the least common multiple of 628 and 632 is 99224.