Least Common Multiple of 653 and 655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 653 and 655 the smallest integer that is 427715 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 655 is 427715.

LCM(653,655) = 427715

LCM of 653 and 655

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

LCM of:
and

Least Common Multiple of 653 and 655

LCM of 653 and 655 is 427715

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 655. First we will calculate the prime factors of 653 and 655.

Prime Factorization of 653


653 653
1

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

653 = 6531

Prime Factorization of 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 653 and 655.

LCM(653,655) = 51×1311×6531
LCM(653,655) = 427715

Factors of 653

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

1, 653

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Least Common Multiple of 653 and 655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 653 and 655, than apply into the LCM equation.

GCF(653,655) = 1
LCM(653,655) = ( 653 × 655) / 1
LCM(653,655) = 427715 / 1
LCM(653,655) = 427715

Properties of LCM 653 and 655

(i) The LCM of 655 and 653 is associative

LCM of 653 and 655 = LCM of 655 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 655

Frequently Asked Questions on LCM of 653 and 655

1. What is the LCM of 653 and 655?

Answer: LCM of 653 and 655 is 427715.

2. 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.

3. What are the Factors of 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

4. How to Find the LCM of 653 and 655?

Answer:

Least Common Multiple of 653 and 655 = 427715

Step 1: Find the prime factorization of 653

653 = 653

Step 2: Find the prime factorization of 655

655 = 5 x 131

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

LCM = 427715 = 5 x 131 x 653

Step 4: Therefore, the least common multiple of 653 and 655 is 427715.