Least Common Multiple of 651 and 659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 651 and 659 the smallest integer that is 429009 that is divisible by both numbers.

Least Common Multiple (LCM) of 651 and 659 is 429009.

LCM(651,659) = 429009

LCM of 651 and 659

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

LCM of:
and

Least Common Multiple of 651 and 659

LCM of 651 and 659 is 429009

Least common multiple can be found by multiplying the highest exponent prime factors of 651 and 659. First we will calculate the prime factors of 651 and 659.

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

Prime Factorization of 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 651 and 659.

LCM(651,659) = 31×71×311×6591
LCM(651,659) = 429009

Factors of 651

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

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

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1, 659

Least Common Multiple of 651 and 659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 651 and 659, than apply into the LCM equation.

GCF(651,659) = 1
LCM(651,659) = ( 651 × 659) / 1
LCM(651,659) = 429009 / 1
LCM(651,659) = 429009

Properties of LCM 651 and 659

(i) The LCM of 659 and 651 is associative

LCM of 651 and 659 = LCM of 659 and 651

Related Least Common Multiples of 651

Related Least Common Multiples of 659

Frequently Asked Questions on LCM of 651 and 659

1. What is the LCM of 651 and 659?

Answer: LCM of 651 and 659 is 429009.

2. 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.

3. What are the Factors of 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

4. How to Find the LCM of 651 and 659?

Answer:

Least Common Multiple of 651 and 659 = 429009

Step 1: Find the prime factorization of 651

651 = 3 x 7 x 31

Step 2: Find the prime factorization of 659

659 = 659

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

LCM = 429009 = 3 x 7 x 31 x 659

Step 4: Therefore, the least common multiple of 651 and 659 is 429009.