Least Common Multiple of 634 and 642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 634 and 642 the smallest integer that is 203514 that is divisible by both numbers.

Least Common Multiple (LCM) of 634 and 642 is 203514.

LCM(634,642) = 203514

LCM of 634 and 642

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

LCM of:
and

Least Common Multiple of 634 and 642

LCM of 634 and 642 is 203514

Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 642. First we will calculate the prime factors of 634 and 642.

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

Prime Factorization of 642


2 642
3 321
107 107
1

Prime factors of 642 are 2, 3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 634 and 642.

LCM(634,642) = 21×31×1071×3171
LCM(634,642) = 203514

Factors of 634

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

1, 2, 317, 634

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Least Common Multiple of 634 and 642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 634 and 642, than apply into the LCM equation.

GCF(634,642) = 2
LCM(634,642) = ( 634 × 642) / 2
LCM(634,642) = 407028 / 2
LCM(634,642) = 203514

Properties of LCM 634 and 642

(i) The LCM of 642 and 634 is associative

LCM of 634 and 642 = LCM of 642 and 634

Related Least Common Multiples of 634

Related Least Common Multiples of 642

Frequently Asked Questions on LCM of 634 and 642

1. What is the LCM of 634 and 642?

Answer: LCM of 634 and 642 is 203514.

2. 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.

3. What are the Factors of 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

4. How to Find the LCM of 634 and 642?

Answer:

Least Common Multiple of 634 and 642 = 203514

Step 1: Find the prime factorization of 634

634 = 2 x 317

Step 2: Find the prime factorization of 642

642 = 2 x 3 x 107

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

LCM = 203514 = 2 x 3 x 107 x 317

Step 4: Therefore, the least common multiple of 634 and 642 is 203514.