Least Common Multiple of 649 and 652

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 652 the smallest integer that is 423148 that is divisible by both numbers.

Least Common Multiple (LCM) of 649 and 652 is 423148.

LCM(649,652) = 423148

LCM of 649 and 652

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

LCM of:
and

Least Common Multiple of 649 and 652

LCM of 649 and 652 is 423148

Least common multiple can be found by multiplying the highest exponent prime factors of 649 and 652. First we will calculate the prime factors of 649 and 652.

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 652


2 652
2 326
163 163
1

Prime factors of 652 are 2,163. Prime factorization of 652 in exponential form is:

652 = 22×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 649 and 652.

LCM(649,652) = 22×111×591×1631
LCM(649,652) = 423148

Factors of 649

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

1, 11, 59, 649

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Least Common Multiple of 649 and 652 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 652, than apply into the LCM equation.

GCF(649,652) = 1
LCM(649,652) = ( 649 × 652) / 1
LCM(649,652) = 423148 / 1
LCM(649,652) = 423148

Properties of LCM 649 and 652

(i) The LCM of 652 and 649 is associative

LCM of 649 and 652 = LCM of 652 and 649

Related Least Common Multiples of 649

Related Least Common Multiples of 652

Frequently Asked Questions on LCM of 649 and 652

1. What is the LCM of 649 and 652?

Answer: LCM of 649 and 652 is 423148.

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 652?

Answer: Factors of 652 are 1, 2, 4, 163, 326, 652. There are 6 integers that are factors of 652. The greatest factor of 652 is 652.

4. How to Find the LCM of 649 and 652?

Answer:

Least Common Multiple of 649 and 652 = 423148

Step 1: Find the prime factorization of 649

649 = 11 x 59

Step 2: Find the prime factorization of 652

652 = 2 x 2 x 163

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

LCM = 423148 = 2 x 2 x 11 x 59 x 163

Step 4: Therefore, the least common multiple of 649 and 652 is 423148.