Least Common Multiple of 653 and 658

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 658 the smallest integer that is 429674 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 658 is 429674.

LCM(653,658) = 429674

LCM of 653 and 658

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

LCM of:
and

Least Common Multiple of 653 and 658

LCM of 653 and 658 is 429674

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 658. First we will calculate the prime factors of 653 and 658.

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 658


2 658
7 329
47 47
1

Prime factors of 658 are 2, 7,47. Prime factorization of 658 in exponential form is:

658 = 21×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 653 and 658.

LCM(653,658) = 21×71×471×6531
LCM(653,658) = 429674

Factors of 653

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

1, 653

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Least Common Multiple of 653 and 658 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 658, than apply into the LCM equation.

GCF(653,658) = 1
LCM(653,658) = ( 653 × 658) / 1
LCM(653,658) = 429674 / 1
LCM(653,658) = 429674

Properties of LCM 653 and 658

(i) The LCM of 658 and 653 is associative

LCM of 653 and 658 = LCM of 658 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 658

Frequently Asked Questions on LCM of 653 and 658

1. What is the LCM of 653 and 658?

Answer: LCM of 653 and 658 is 429674.

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 658?

Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.

4. How to Find the LCM of 653 and 658?

Answer:

Least Common Multiple of 653 and 658 = 429674

Step 1: Find the prime factorization of 653

653 = 653

Step 2: Find the prime factorization of 658

658 = 2 x 7 x 47

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

LCM = 429674 = 2 x 7 x 47 x 653

Step 4: Therefore, the least common multiple of 653 and 658 is 429674.