Least Common Multiple of 628 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 628 and 634 the smallest integer that is 199076 that is divisible by both numbers.

Least Common Multiple (LCM) of 628 and 634 is 199076.

LCM(628,634) = 199076

LCM of 628 and 634

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

LCM of:
and

Least Common Multiple of 628 and 634

LCM of 628 and 634 is 199076

Least common multiple can be found by multiplying the highest exponent prime factors of 628 and 634. First we will calculate the prime factors of 628 and 634.

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 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 628 and 634.

LCM(628,634) = 22×1571×3171
LCM(628,634) = 199076

Factors of 628

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

1, 2, 4, 157, 314, 628

Factors of 634

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

1, 2, 317, 634

Least Common Multiple of 628 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 628 and 634, than apply into the LCM equation.

GCF(628,634) = 2
LCM(628,634) = ( 628 × 634) / 2
LCM(628,634) = 398152 / 2
LCM(628,634) = 199076

Properties of LCM 628 and 634

(i) The LCM of 634 and 628 is associative

LCM of 628 and 634 = LCM of 634 and 628

Related Least Common Multiples of 628

Related Least Common Multiples of 634

Frequently Asked Questions on LCM of 628 and 634

1. What is the LCM of 628 and 634?

Answer: LCM of 628 and 634 is 199076.

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 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 628 and 634?

Answer:

Least Common Multiple of 628 and 634 = 199076

Step 1: Find the prime factorization of 628

628 = 2 x 2 x 157

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 = 199076 = 2 x 2 x 157 x 317

Step 4: Therefore, the least common multiple of 628 and 634 is 199076.