Least Common Multiple of 639 and 645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 639 and 645 the smallest integer that is 137385 that is divisible by both numbers.

Least Common Multiple (LCM) of 639 and 645 is 137385.

LCM(639,645) = 137385

LCM of 639 and 645

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

LCM of:
and

Least Common Multiple of 639 and 645

LCM of 639 and 645 is 137385

Least common multiple can be found by multiplying the highest exponent prime factors of 639 and 645. First we will calculate the prime factors of 639 and 645.

Prime Factorization of 639


3 639
3 213
71 71
1

Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:

639 = 32×711

Prime Factorization of 645


3 645
5 215
43 43
1

Prime factors of 645 are 3, 5,43. Prime factorization of 645 in exponential form is:

645 = 31×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 639 and 645.

LCM(639,645) = 32×51×431×711
LCM(639,645) = 137385

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Least Common Multiple of 639 and 645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 639 and 645, than apply into the LCM equation.

GCF(639,645) = 3
LCM(639,645) = ( 639 × 645) / 3
LCM(639,645) = 412155 / 3
LCM(639,645) = 137385

Properties of LCM 639 and 645

(i) The LCM of 645 and 639 is associative

LCM of 639 and 645 = LCM of 645 and 639

Related Least Common Multiples of 639

Related Least Common Multiples of 645

Frequently Asked Questions on LCM of 639 and 645

1. What is the LCM of 639 and 645?

Answer: LCM of 639 and 645 is 137385.

2. What are the Factors of 639?

Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.

3. What are the Factors of 645?

Answer: Factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645. There are 8 integers that are factors of 645. The greatest factor of 645 is 645.

4. How to Find the LCM of 639 and 645?

Answer:

Least Common Multiple of 639 and 645 = 137385

Step 1: Find the prime factorization of 639

639 = 3 x 3 x 71

Step 2: Find the prime factorization of 645

645 = 3 x 5 x 43

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

LCM = 137385 = 3 x 3 x 5 x 43 x 71

Step 4: Therefore, the least common multiple of 639 and 645 is 137385.