Least Common Multiple of 654 and 662

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 662 the smallest integer that is 216474 that is divisible by both numbers.

Least Common Multiple (LCM) of 654 and 662 is 216474.

LCM(654,662) = 216474

LCM of 654 and 662

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

LCM of:
and

Least Common Multiple of 654 and 662

LCM of 654 and 662 is 216474

Least common multiple can be found by multiplying the highest exponent prime factors of 654 and 662. First we will calculate the prime factors of 654 and 662.

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 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 654 and 662.

LCM(654,662) = 21×31×1091×3311
LCM(654,662) = 216474

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 662

List of positive integer factors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Least Common Multiple of 654 and 662 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 662, than apply into the LCM equation.

GCF(654,662) = 2
LCM(654,662) = ( 654 × 662) / 2
LCM(654,662) = 432948 / 2
LCM(654,662) = 216474

Properties of LCM 654 and 662

(i) The LCM of 662 and 654 is associative

LCM of 654 and 662 = LCM of 662 and 654

Related Least Common Multiples of 654

Related Least Common Multiples of 662

Frequently Asked Questions on LCM of 654 and 662

1. What is the LCM of 654 and 662?

Answer: LCM of 654 and 662 is 216474.

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 662?

Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.

4. How to Find the LCM of 654 and 662?

Answer:

Least Common Multiple of 654 and 662 = 216474

Step 1: Find the prime factorization of 654

654 = 2 x 3 x 109

Step 2: Find the prime factorization of 662

662 = 2 x 331

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

LCM = 216474 = 2 x 3 x 109 x 331

Step 4: Therefore, the least common multiple of 654 and 662 is 216474.