Least Common Multiple of 26624 and 26628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 26624 and 26628 the smallest integer that is 177235968 that is divisible by both numbers.

Least Common Multiple (LCM) of 26624 and 26628 is 177235968.

LCM(26624,26628) = 177235968

LCM of 26624 and 26628

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

LCM of:
and

Least Common Multiple of 26624 and 26628

LCM of 26624 and 26628 is 177235968

Least common multiple can be found by multiplying the highest exponent prime factors of 26624 and 26628. First we will calculate the prime factors of 26624 and 26628.

Prime Factorization of 26624


2 26624
2 13312
2 6656
2 3328
2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 26624 are 2,13. Prime factorization of 26624 in exponential form is:

26624 = 211×131

Prime Factorization of 26628


2 26628
2 13314
3 6657
7 2219
317 317
1

Prime factors of 26628 are 2, 3, 7,317. Prime factorization of 26628 in exponential form is:

26628 = 22×31×71×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 26624 and 26628.

LCM(26624,26628) = 211×31×71×131×3171
LCM(26624,26628) = 177235968

Factors of 26624

List of positive integer factors of 26624 that divides 26624 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312, 26624

Factors of 26628

List of positive integer factors of 26628 that divides 26628 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 317, 634, 951, 1268, 1902, 2219, 3804, 4438, 6657, 8876, 13314, 26628

Least Common Multiple of 26624 and 26628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26624 and 26628, than apply into the LCM equation.

GCF(26624,26628) = 4
LCM(26624,26628) = ( 26624 × 26628) / 4
LCM(26624,26628) = 708943872 / 4
LCM(26624,26628) = 177235968

Properties of LCM 26624 and 26628

(i) The LCM of 26628 and 26624 is associative

LCM of 26624 and 26628 = LCM of 26628 and 26624

Frequently Asked Questions on LCM of 26624 and 26628

1. What is the LCM of 26624 and 26628?

Answer: LCM of 26624 and 26628 is 177235968.

2. What are the Factors of 26624?

Answer: Factors of 26624 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312, 26624. There are 24 integers that are factors of 26624. The greatest factor of 26624 is 26624.

3. What are the Factors of 26628?

Answer: Factors of 26628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 317, 634, 951, 1268, 1902, 2219, 3804, 4438, 6657, 8876, 13314, 26628. There are 24 integers that are factors of 26628. The greatest factor of 26628 is 26628.

4. How to Find the LCM of 26624 and 26628?

Answer:

Least Common Multiple of 26624 and 26628 = 177235968

Step 1: Find the prime factorization of 26624

26624 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 26628

26628 = 2 x 2 x 3 x 7 x 317

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

LCM = 177235968 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 317

Step 4: Therefore, the least common multiple of 26624 and 26628 is 177235968.