Least Common Multiple of 652 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 652 and 654 the smallest integer that is 213204 that is divisible by both numbers.

Least Common Multiple (LCM) of 652 and 654 is 213204.

LCM(652,654) = 213204

LCM of 652 and 654

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

LCM of:
and

Least Common Multiple of 652 and 654

LCM of 652 and 654 is 213204

Least common multiple can be found by multiplying the highest exponent prime factors of 652 and 654. First we will calculate the prime factors of 652 and 654.

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

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 652 and 654.

LCM(652,654) = 22×31×1091×1631
LCM(652,654) = 213204

Factors of 652

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

1, 2, 4, 163, 326, 652

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 652 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 652 and 654, than apply into the LCM equation.

GCF(652,654) = 2
LCM(652,654) = ( 652 × 654) / 2
LCM(652,654) = 426408 / 2
LCM(652,654) = 213204

Properties of LCM 652 and 654

(i) The LCM of 654 and 652 is associative

LCM of 652 and 654 = LCM of 654 and 652

Related Least Common Multiples of 652

Related Least Common Multiples of 654

Frequently Asked Questions on LCM of 652 and 654

1. What is the LCM of 652 and 654?

Answer: LCM of 652 and 654 is 213204.

2. 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.

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 652 and 654?

Answer:

Least Common Multiple of 652 and 654 = 213204

Step 1: Find the prime factorization of 652

652 = 2 x 2 x 163

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 = 213204 = 2 x 2 x 3 x 109 x 163

Step 4: Therefore, the least common multiple of 652 and 654 is 213204.