Least Common Multiple of 8652 and 8657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8652 and 8657 the smallest integer that is 74900364 that is divisible by both numbers.

Least Common Multiple (LCM) of 8652 and 8657 is 74900364.

LCM(8652,8657) = 74900364

LCM of 8652 and 8657

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

LCM of:
and

Least Common Multiple of 8652 and 8657

LCM of 8652 and 8657 is 74900364

Least common multiple can be found by multiplying the highest exponent prime factors of 8652 and 8657. First we will calculate the prime factors of 8652 and 8657.

Prime Factorization of 8652


2 8652
2 4326
3 2163
7 721
103 103
1

Prime factors of 8652 are 2, 3, 7,103. Prime factorization of 8652 in exponential form is:

8652 = 22×31×71×1031

Prime Factorization of 8657


11 8657
787 787
1

Prime factors of 8657 are 11,787. Prime factorization of 8657 in exponential form is:

8657 = 111×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 8652 and 8657.

LCM(8652,8657) = 22×31×71×111×1031×7871
LCM(8652,8657) = 74900364

Factors of 8652

List of positive integer factors of 8652 that divides 8652 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652

Factors of 8657

List of positive integer factors of 8657 that divides 8657 without a remainder.

1, 11, 787, 8657

Least Common Multiple of 8652 and 8657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8652 and 8657, than apply into the LCM equation.

GCF(8652,8657) = 1
LCM(8652,8657) = ( 8652 × 8657) / 1
LCM(8652,8657) = 74900364 / 1
LCM(8652,8657) = 74900364

Properties of LCM 8652 and 8657

(i) The LCM of 8657 and 8652 is associative

LCM of 8652 and 8657 = LCM of 8657 and 8652

Related Least Common Multiples of 8652

Related Least Common Multiples of 8657

Frequently Asked Questions on LCM of 8652 and 8657

1. What is the LCM of 8652 and 8657?

Answer: LCM of 8652 and 8657 is 74900364.

2. What are the Factors of 8652?

Answer: Factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652. There are 24 integers that are factors of 8652. The greatest factor of 8652 is 8652.

3. What are the Factors of 8657?

Answer: Factors of 8657 are 1, 11, 787, 8657. There are 4 integers that are factors of 8657. The greatest factor of 8657 is 8657.

4. How to Find the LCM of 8652 and 8657?

Answer:

Least Common Multiple of 8652 and 8657 = 74900364

Step 1: Find the prime factorization of 8652

8652 = 2 x 2 x 3 x 7 x 103

Step 2: Find the prime factorization of 8657

8657 = 11 x 787

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

LCM = 74900364 = 2 x 2 x 3 x 7 x 11 x 103 x 787

Step 4: Therefore, the least common multiple of 8652 and 8657 is 74900364.