Least Common Multiple of 645 and 651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 645 and 651 the smallest integer that is 139965 that is divisible by both numbers.

Least Common Multiple (LCM) of 645 and 651 is 139965.

LCM(645,651) = 139965

LCM of 645 and 651

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

LCM of:
and

Least Common Multiple of 645 and 651

LCM of 645 and 651 is 139965

Least common multiple can be found by multiplying the highest exponent prime factors of 645 and 651. First we will calculate the prime factors of 645 and 651.

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

Prime Factorization of 651


3 651
7 217
31 31
1

Prime factors of 651 are 3, 7,31. Prime factorization of 651 in exponential form is:

651 = 31×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 645 and 651.

LCM(645,651) = 31×51×71×311×431
LCM(645,651) = 139965

Factors of 645

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

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

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Least Common Multiple of 645 and 651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 645 and 651, than apply into the LCM equation.

GCF(645,651) = 3
LCM(645,651) = ( 645 × 651) / 3
LCM(645,651) = 419895 / 3
LCM(645,651) = 139965

Properties of LCM 645 and 651

(i) The LCM of 651 and 645 is associative

LCM of 645 and 651 = LCM of 651 and 645

Related Least Common Multiples of 645

Related Least Common Multiples of 651

Frequently Asked Questions on LCM of 645 and 651

1. What is the LCM of 645 and 651?

Answer: LCM of 645 and 651 is 139965.

2. 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.

3. What are the Factors of 651?

Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.

4. How to Find the LCM of 645 and 651?

Answer:

Least Common Multiple of 645 and 651 = 139965

Step 1: Find the prime factorization of 645

645 = 3 x 5 x 43

Step 2: Find the prime factorization of 651

651 = 3 x 7 x 31

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

LCM = 139965 = 3 x 5 x 7 x 31 x 43

Step 4: Therefore, the least common multiple of 645 and 651 is 139965.