Least Common Multiple of 651 and 657

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 657 the smallest integer that is 142569 that is divisible by both numbers.

Least Common Multiple (LCM) of 651 and 657 is 142569.

LCM(651,657) = 142569

LCM of 651 and 657

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

LCM of:
and

Least Common Multiple of 651 and 657

LCM of 651 and 657 is 142569

Least common multiple can be found by multiplying the highest exponent prime factors of 651 and 657. First we will calculate the prime factors of 651 and 657.

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 657


3 657
3 219
73 73
1

Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:

657 = 32×731

Now multiplying the highest exponent prime factors to calculate the LCM of 651 and 657.

LCM(651,657) = 32×71×311×731
LCM(651,657) = 142569

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 657

List of positive integer factors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Least Common Multiple of 651 and 657 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 657, than apply into the LCM equation.

GCF(651,657) = 3
LCM(651,657) = ( 651 × 657) / 3
LCM(651,657) = 427707 / 3
LCM(651,657) = 142569

Properties of LCM 651 and 657

(i) The LCM of 657 and 651 is associative

LCM of 651 and 657 = LCM of 657 and 651

Related Least Common Multiples of 651

Related Least Common Multiples of 657

Frequently Asked Questions on LCM of 651 and 657

1. What is the LCM of 651 and 657?

Answer: LCM of 651 and 657 is 142569.

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 657?

Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.

4. How to Find the LCM of 651 and 657?

Answer:

Least Common Multiple of 651 and 657 = 142569

Step 1: Find the prime factorization of 651

651 = 3 x 7 x 31

Step 2: Find the prime factorization of 657

657 = 3 x 3 x 73

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

LCM = 142569 = 3 x 3 x 7 x 31 x 73

Step 4: Therefore, the least common multiple of 651 and 657 is 142569.