Least Common Multiple of 654 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 654 and 655 the smallest integer that is 428370 that is divisible by both numbers.

Least Common Multiple (LCM) of 654 and 655 is 428370.

LCM(654,655) = 428370

LCM of 654 and 655

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

LCM of:
and

Least Common Multiple of 654 and 655

LCM of 654 and 655 is 428370

Least common multiple can be found by multiplying the highest exponent prime factors of 654 and 655. First we will calculate the prime factors of 654 and 655.

Prime Factorization of 654


2 654
3 327
109 109
1

Prime factors of 654 are 2, 3,109. Prime factorization of 654 in exponential form is:

654 = 21×31×1091

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 654 and 655.

LCM(654,655) = 21×31×51×1091×1311
LCM(654,655) = 428370

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Factors of 655

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

1, 5, 131, 655

Least Common Multiple of 654 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 654 and 655, than apply into the LCM equation.

GCF(654,655) = 1
LCM(654,655) = ( 654 × 655) / 1
LCM(654,655) = 428370 / 1
LCM(654,655) = 428370

Properties of LCM 654 and 655

(i) The LCM of 655 and 654 is associative

LCM of 654 and 655 = LCM of 655 and 654

Related Least Common Multiples of 654

Related Least Common Multiples of 655

Frequently Asked Questions on LCM of 654 and 655

1. What is the LCM of 654 and 655?

Answer: LCM of 654 and 655 is 428370.

2. What are the Factors of 654?

Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.

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 654 and 655?

Answer:

Least Common Multiple of 654 and 655 = 428370

Step 1: Find the prime factorization of 654

654 = 2 x 3 x 109

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 = 428370 = 2 x 3 x 5 x 109 x 131

Step 4: Therefore, the least common multiple of 654 and 655 is 428370.