Least Common Multiple of 81722 and 81726

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

• Least Common Multiple of 81722 and 81726 by Prime method
• Least Common Multiple of 81722 and 81726 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 81722 and 81726. First we will calculate the prime factors of 81722 and 81726.

Prime Factorization of 81722

Prime factors of 81722 are 2, 29,1409. Prime factorization of 81722 in exponential form is:

81722 = 2¹×29¹×1409¹

Prime Factorization of 81726

Prime factors of 81726 are 2, 3, 53,257. Prime factorization of 81726 in exponential form is:

81726 = 2¹×3¹×53¹×257¹

Now multiplying the highest exponent prime factors to calculate the LCM of 81722 and 81726.

LCM(81722,81726) = 2¹×3¹×29¹×53¹×257¹×1409¹
LCM(81722,81726) = 3339406086

Factors of 81722

List of positive integer factors of 81722 that divides 81722 without a remainder.

1, 2, 29, 58, 1409, 2818, 40861, 81722

Factors of 81726

List of positive integer factors of 81726 that divides 81726 without a remainder.

1, 2, 3, 6, 53, 106, 159, 257, 318, 514, 771, 1542, 13621, 27242, 40863, 81726

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81722 and 81726, than apply into the LCM equation.

GCF(81722,81726) = 2
LCM(81722,81726) = ( 81722 × 81726) / 2
LCM(81722,81726) = 6678812172 / 2
LCM(81722,81726) = 3339406086

(i) The LCM of 81726 and 81722 is associative

LCM of 81722 and 81726 = LCM of 81726 and 81722

1. What is the LCM of 81722 and 81726?

Answer: LCM of 81722 and 81726 is 3339406086.

2. What are the Factors of 81722?

Answer: Factors of 81722 are 1, 2, 29, 58, 1409, 2818, 40861, 81722. There are 8 integers that are factors of 81722. The greatest factor of 81722 is 81722.

3. What are the Factors of 81726?

Answer: Factors of 81726 are 1, 2, 3, 6, 53, 106, 159, 257, 318, 514, 771, 1542, 13621, 27242, 40863, 81726. There are 16 integers that are factors of 81726. The greatest factor of 81726 is 81726.

4. How to Find the LCM of 81722 and 81726?

Answer:

Least Common Multiple of 81722 and 81726 = 3339406086

Step 1: Find the prime factorization of 81722

81722 = 2 x 29 x 1409

Step 2: Find the prime factorization of 81726

81726 = 2 x 3 x 53 x 257

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

LCM = 3339406086 = 2 x 3 x 29 x 53 x 257 x 1409

Step 4: Therefore, the least common multiple of 81722 and 81726 is 3339406086.