Least Common Multiple of 66981 and 66987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66981 and 66987 the smallest integer that is 1495618749 that is divisible by both numbers.

Least Common Multiple (LCM) of 66981 and 66987 is 1495618749.

LCM(66981,66987) = 1495618749

LCM of 66981 and 66987

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

LCM of:
and

Least Common Multiple of 66981 and 66987

LCM of 66981 and 66987 is 1495618749

Least common multiple can be found by multiplying the highest exponent prime factors of 66981 and 66987. First we will calculate the prime factors of 66981 and 66987.

Prime Factorization of 66981


3 66981
83 22327
269 269
1

Prime factors of 66981 are 3, 83,269. Prime factorization of 66981 in exponential form is:

66981 = 31×831×2691

Prime Factorization of 66987


3 66987
3 22329
3 7443
3 2481
827 827
1

Prime factors of 66987 are 3,827. Prime factorization of 66987 in exponential form is:

66987 = 34×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 66981 and 66987.

LCM(66981,66987) = 34×831×2691×8271
LCM(66981,66987) = 1495618749

Factors of 66981

List of positive integer factors of 66981 that divides 66981 without a remainder.

1, 3, 83, 249, 269, 807, 22327, 66981

Factors of 66987

List of positive integer factors of 66987 that divides 66987 without a remainder.

1, 3, 9, 27, 81, 827, 2481, 7443, 22329, 66987

Least Common Multiple of 66981 and 66987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66981 and 66987, than apply into the LCM equation.

GCF(66981,66987) = 3
LCM(66981,66987) = ( 66981 × 66987) / 3
LCM(66981,66987) = 4486856247 / 3
LCM(66981,66987) = 1495618749

Properties of LCM 66981 and 66987

(i) The LCM of 66987 and 66981 is associative

LCM of 66981 and 66987 = LCM of 66987 and 66981

Related Least Common Multiples of 66981

Related Least Common Multiples of 66987

Frequently Asked Questions on LCM of 66981 and 66987

1. What is the LCM of 66981 and 66987?

Answer: LCM of 66981 and 66987 is 1495618749.

2. What are the Factors of 66981?

Answer: Factors of 66981 are 1, 3, 83, 249, 269, 807, 22327, 66981. There are 8 integers that are factors of 66981. The greatest factor of 66981 is 66981.

3. What are the Factors of 66987?

Answer: Factors of 66987 are 1, 3, 9, 27, 81, 827, 2481, 7443, 22329, 66987. There are 10 integers that are factors of 66987. The greatest factor of 66987 is 66987.

4. How to Find the LCM of 66981 and 66987?

Answer:

Least Common Multiple of 66981 and 66987 = 1495618749

Step 1: Find the prime factorization of 66981

66981 = 3 x 83 x 269

Step 2: Find the prime factorization of 66987

66987 = 3 x 3 x 3 x 3 x 827

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

LCM = 1495618749 = 3 x 3 x 3 x 3 x 83 x 269 x 827

Step 4: Therefore, the least common multiple of 66981 and 66987 is 1495618749.