Least Common Multiple of 26610 and 26616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26610 and 26616 the smallest integer that is 118041960 that is divisible by both numbers.

Least Common Multiple (LCM) of 26610 and 26616 is 118041960.

LCM(26610,26616) = 118041960

LCM of 26610 and 26616

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

LCM of:
and

Least Common Multiple of 26610 and 26616

LCM of 26610 and 26616 is 118041960

Least common multiple can be found by multiplying the highest exponent prime factors of 26610 and 26616. First we will calculate the prime factors of 26610 and 26616.

Prime Factorization of 26610


2 26610
3 13305
5 4435
887 887
1

Prime factors of 26610 are 2, 3, 5,887. Prime factorization of 26610 in exponential form is:

26610 = 21×31×51×8871

Prime Factorization of 26616


2 26616
2 13308
2 6654
3 3327
1109 1109
1

Prime factors of 26616 are 2, 3,1109. Prime factorization of 26616 in exponential form is:

26616 = 23×31×11091

Now multiplying the highest exponent prime factors to calculate the LCM of 26610 and 26616.

LCM(26610,26616) = 23×31×51×8871×11091
LCM(26610,26616) = 118041960

Factors of 26610

List of positive integer factors of 26610 that divides 26610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 887, 1774, 2661, 4435, 5322, 8870, 13305, 26610

Factors of 26616

List of positive integer factors of 26616 that divides 26616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1109, 2218, 3327, 4436, 6654, 8872, 13308, 26616

Least Common Multiple of 26610 and 26616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26610 and 26616, than apply into the LCM equation.

GCF(26610,26616) = 6
LCM(26610,26616) = ( 26610 × 26616) / 6
LCM(26610,26616) = 708251760 / 6
LCM(26610,26616) = 118041960

Properties of LCM 26610 and 26616

(i) The LCM of 26616 and 26610 is associative

LCM of 26610 and 26616 = LCM of 26616 and 26610

Related Least Common Multiples of 26610

Related Least Common Multiples of 26616

Frequently Asked Questions on LCM of 26610 and 26616

1. What is the LCM of 26610 and 26616?

Answer: LCM of 26610 and 26616 is 118041960.

2. What are the Factors of 26610?

Answer: Factors of 26610 are 1, 2, 3, 5, 6, 10, 15, 30, 887, 1774, 2661, 4435, 5322, 8870, 13305, 26610. There are 16 integers that are factors of 26610. The greatest factor of 26610 is 26610.

3. What are the Factors of 26616?

Answer: Factors of 26616 are 1, 2, 3, 4, 6, 8, 12, 24, 1109, 2218, 3327, 4436, 6654, 8872, 13308, 26616. There are 16 integers that are factors of 26616. The greatest factor of 26616 is 26616.

4. How to Find the LCM of 26610 and 26616?

Answer:

Least Common Multiple of 26610 and 26616 = 118041960

Step 1: Find the prime factorization of 26610

26610 = 2 x 3 x 5 x 887

Step 2: Find the prime factorization of 26616

26616 = 2 x 2 x 2 x 3 x 1109

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

LCM = 118041960 = 2 x 2 x 2 x 3 x 5 x 887 x 1109

Step 4: Therefore, the least common multiple of 26610 and 26616 is 118041960.