Least Common Multiple of 651 and 653

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 653 the smallest integer that is 425103 that is divisible by both numbers.

Least Common Multiple (LCM) of 651 and 653 is 425103.

LCM(651,653) = 425103

LCM of 651 and 653

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

LCM of:
and

Least Common Multiple of 651 and 653

LCM of 651 and 653 is 425103

Least common multiple can be found by multiplying the highest exponent prime factors of 651 and 653. First we will calculate the prime factors of 651 and 653.

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 653


653 653
1

Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:

653 = 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 651 and 653.

LCM(651,653) = 31×71×311×6531
LCM(651,653) = 425103

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 653

List of positive integer factors of 653 that divides 653 without a remainder.

1, 653

Least Common Multiple of 651 and 653 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 653, than apply into the LCM equation.

GCF(651,653) = 1
LCM(651,653) = ( 651 × 653) / 1
LCM(651,653) = 425103 / 1
LCM(651,653) = 425103

Properties of LCM 651 and 653

(i) The LCM of 653 and 651 is associative

LCM of 651 and 653 = LCM of 653 and 651

Related Least Common Multiples of 651

Related Least Common Multiples of 653

Frequently Asked Questions on LCM of 651 and 653

1. What is the LCM of 651 and 653?

Answer: LCM of 651 and 653 is 425103.

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 653?

Answer: Factors of 653 are 1, 653. There are 2 integers that are factors of 653. The greatest factor of 653 is 653.

4. How to Find the LCM of 651 and 653?

Answer:

Least Common Multiple of 651 and 653 = 425103

Step 1: Find the prime factorization of 651

651 = 3 x 7 x 31

Step 2: Find the prime factorization of 653

653 = 653

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

LCM = 425103 = 3 x 7 x 31 x 653

Step 4: Therefore, the least common multiple of 651 and 653 is 425103.