Least Common Multiple of 649 and 654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 649 and 654 the smallest integer that is 424446 that is divisible by both numbers.

Least Common Multiple (LCM) of 649 and 654 is 424446.

LCM(649,654) = 424446

LCM of 649 and 654

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

LCM of:
and

Least Common Multiple of 649 and 654

LCM of 649 and 654 is 424446

Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 654. First we will calculate the prime factors of 649 and 654.

Prime Factorization of 649


11 649
59 59
1

Prime factors of 649 are 11,59. Prime factorization of 649 in exponential form is:

649 = 111×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 649 and 654.

LCM(649,654) = 21×31×111×591×1091
LCM(649,654) = 424446

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Factors of 654

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

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

Least Common Multiple of 649 and 654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 649 and 654, than apply into the LCM equation.

GCF(649,654) = 1
LCM(649,654) = ( 649 × 654) / 1
LCM(649,654) = 424446 / 1
LCM(649,654) = 424446

Properties of LCM 649 and 654

(i) The LCM of 654 and 649 is associative

LCM of 649 and 654 = LCM of 654 and 649

Related Least Common Multiples of 649

Related Least Common Multiples of 654

Frequently Asked Questions on LCM of 649 and 654

1. What is the LCM of 649 and 654?

Answer: LCM of 649 and 654 is 424446.

2. What are the Factors of 649?

Answer: Factors of 649 are 1, 11, 59, 649. There are 4 integers that are factors of 649. The greatest factor of 649 is 649.

3. 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.

4. How to Find the LCM of 649 and 654?

Answer:

Least Common Multiple of 649 and 654 = 424446

Step 1: Find the prime factorization of 649

649 = 11 x 59

Step 2: Find the prime factorization of 654

654 = 2 x 3 x 109

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

LCM = 424446 = 2 x 3 x 11 x 59 x 109

Step 4: Therefore, the least common multiple of 649 and 654 is 424446.