Least Common Multiple of 66989 and 66996

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

• Least Common Multiple of 66989 and 66996 by Prime method
• Least Common Multiple of 66989 and 66996 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 66989 and 66996. First we will calculate the prime factors of 66989 and 66996.

Prime Factorization of 66989

Prime factors of 66989 are 13,5153. Prime factorization of 66989 in exponential form is:

66989 = 13¹×5153¹

Prime Factorization of 66996

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

66996 = 2²×3²×1861¹

Now multiplying the highest exponent prime factors to calculate the LCM of 66989 and 66996.

LCM(66989,66996) = 2²×3²×13¹×1861¹×5153¹
LCM(66989,66996) = 4487995044

Factors of 66989

List of positive integer factors of 66989 that divides 66989 without a remainder.

1, 13, 5153, 66989

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66989 and 66996, than apply into the LCM equation.

GCF(66989,66996) = 1
LCM(66989,66996) = ( 66989 × 66996) / 1
LCM(66989,66996) = 4487995044 / 1
LCM(66989,66996) = 4487995044

(i) The LCM of 66996 and 66989 is associative

LCM of 66989 and 66996 = LCM of 66996 and 66989

1. What is the LCM of 66989 and 66996?

Answer: LCM of 66989 and 66996 is 4487995044.

2. What are the Factors of 66989?

Answer: Factors of 66989 are 1, 13, 5153, 66989. There are 4 integers that are factors of 66989. The greatest factor of 66989 is 66989.

3. 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.

4. How to Find the LCM of 66989 and 66996?

Answer:

Least Common Multiple of 66989 and 66996 = 4487995044

Step 1: Find the prime factorization of 66989

66989 = 13 x 5153

Step 2: Find the prime factorization of 66996

66996 = 2 x 2 x 3 x 3 x 1861

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

LCM = 4487995044 = 2 x 2 x 3 x 3 x 13 x 1861 x 5153

Step 4: Therefore, the least common multiple of 66989 and 66996 is 4487995044.