Least Common Multiple of 66996 and 66997

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

• Least Common Multiple of 66996 and 66997 by Prime method
• Least Common Multiple of 66996 and 66997 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 66996 and 66997. First we will calculate the prime factors of 66996 and 66997.

Prime Factorization of 66996

Prime factors of 66996 are 2, 3,1861. Prime factorization of 66996 in exponential form is:

66996 = 2²×3²×1861¹

Prime Factorization of 66997

Prime factors of 66997 are 7, 17,563. Prime factorization of 66997 in exponential form is:

66997 = 7¹×17¹×563¹

Now multiplying the highest exponent prime factors to calculate the LCM of 66996 and 66997.

LCM(66996,66997) = 2²×3²×7¹×17¹×563¹×1861¹
LCM(66996,66997) = 4488531012

Factors of 66996

List of positive integer factors of 66996 that divides 66996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1861, 3722, 5583, 7444, 11166, 16749, 22332, 33498, 66996

Factors of 66997

List of positive integer factors of 66997 that divides 66997 without a remainder.

1, 7, 17, 119, 563, 3941, 9571, 66997

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66996 and 66997, than apply into the LCM equation.

GCF(66996,66997) = 1
LCM(66996,66997) = ( 66996 × 66997) / 1
LCM(66996,66997) = 4488531012 / 1
LCM(66996,66997) = 4488531012

(i) The LCM of 66997 and 66996 is associative

LCM of 66996 and 66997 = LCM of 66997 and 66996

1. What is the LCM of 66996 and 66997?

Answer: LCM of 66996 and 66997 is 4488531012.

2. What are the Factors of 66996?

Answer: Factors of 66996 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 1861, 3722, 5583, 7444, 11166, 16749, 22332, 33498, 66996. There are 18 integers that are factors of 66996. The greatest factor of 66996 is 66996.

3. What are the Factors of 66997?

Answer: Factors of 66997 are 1, 7, 17, 119, 563, 3941, 9571, 66997. There are 8 integers that are factors of 66997. The greatest factor of 66997 is 66997.

4. How to Find the LCM of 66996 and 66997?

Answer:

Least Common Multiple of 66996 and 66997 = 4488531012

Step 1: Find the prime factorization of 66996

66996 = 2 x 2 x 3 x 3 x 1861

Step 2: Find the prime factorization of 66997

66997 = 7 x 17 x 563

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

LCM = 4488531012 = 2 x 2 x 3 x 3 x 7 x 17 x 563 x 1861

Step 4: Therefore, the least common multiple of 66996 and 66997 is 4488531012.