Least Common Multiple of 653 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 653 and 657 the smallest integer that is 429021 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 657 is 429021.

LCM(653,657) = 429021

LCM of 653 and 657

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

LCM of:
and

Least Common Multiple of 653 and 657

LCM of 653 and 657 is 429021

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 657. First we will calculate the prime factors of 653 and 657.

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 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 653 and 657.

LCM(653,657) = 32×731×6531
LCM(653,657) = 429021

Factors of 653

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

1, 653

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 653 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 653 and 657, than apply into the LCM equation.

GCF(653,657) = 1
LCM(653,657) = ( 653 × 657) / 1
LCM(653,657) = 429021 / 1
LCM(653,657) = 429021

Properties of LCM 653 and 657

(i) The LCM of 657 and 653 is associative

LCM of 653 and 657 = LCM of 657 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 657

Frequently Asked Questions on LCM of 653 and 657

1. What is the LCM of 653 and 657?

Answer: LCM of 653 and 657 is 429021.

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 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 653 and 657?

Answer:

Least Common Multiple of 653 and 657 = 429021

Step 1: Find the prime factorization of 653

653 = 653

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 = 429021 = 3 x 3 x 73 x 653

Step 4: Therefore, the least common multiple of 653 and 657 is 429021.