Least Common Multiple of 66988 and 66992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66988 and 66992 the smallest integer that is 1121915024 that is divisible by both numbers.

Least Common Multiple (LCM) of 66988 and 66992 is 1121915024.

LCM(66988,66992) = 1121915024

LCM of 66988 and 66992

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

LCM of:
and

Least Common Multiple of 66988 and 66992

LCM of 66988 and 66992 is 1121915024

Least common multiple can be found by multiplying the highest exponent prime factors of 66988 and 66992. First we will calculate the prime factors of 66988 and 66992.

Prime Factorization of 66988


2 66988
2 33494
16747 16747
1

Prime factors of 66988 are 2,16747. Prime factorization of 66988 in exponential form is:

66988 = 22×167471

Prime Factorization of 66992


2 66992
2 33496
2 16748
2 8374
53 4187
79 79
1

Prime factors of 66992 are 2, 53,79. Prime factorization of 66992 in exponential form is:

66992 = 24×531×791

Now multiplying the highest exponent prime factors to calculate the LCM of 66988 and 66992.

LCM(66988,66992) = 24×531×791×167471
LCM(66988,66992) = 1121915024

Factors of 66988

List of positive integer factors of 66988 that divides 66988 without a remainder.

1, 2, 4, 16747, 33494, 66988

Factors of 66992

List of positive integer factors of 66992 that divides 66992 without a remainder.

1, 2, 4, 8, 16, 53, 79, 106, 158, 212, 316, 424, 632, 848, 1264, 4187, 8374, 16748, 33496, 66992

Least Common Multiple of 66988 and 66992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66988 and 66992, than apply into the LCM equation.

GCF(66988,66992) = 4
LCM(66988,66992) = ( 66988 × 66992) / 4
LCM(66988,66992) = 4487660096 / 4
LCM(66988,66992) = 1121915024

Properties of LCM 66988 and 66992

(i) The LCM of 66992 and 66988 is associative

LCM of 66988 and 66992 = LCM of 66992 and 66988

Related Least Common Multiples of 66988

Related Least Common Multiples of 66992

Frequently Asked Questions on LCM of 66988 and 66992

1. What is the LCM of 66988 and 66992?

Answer: LCM of 66988 and 66992 is 1121915024.

2. What are the Factors of 66988?

Answer: Factors of 66988 are 1, 2, 4, 16747, 33494, 66988. There are 6 integers that are factors of 66988. The greatest factor of 66988 is 66988.

3. What are the Factors of 66992?

Answer: Factors of 66992 are 1, 2, 4, 8, 16, 53, 79, 106, 158, 212, 316, 424, 632, 848, 1264, 4187, 8374, 16748, 33496, 66992. There are 20 integers that are factors of 66992. The greatest factor of 66992 is 66992.

4. How to Find the LCM of 66988 and 66992?

Answer:

Least Common Multiple of 66988 and 66992 = 1121915024

Step 1: Find the prime factorization of 66988

66988 = 2 x 2 x 16747

Step 2: Find the prime factorization of 66992

66992 = 2 x 2 x 2 x 2 x 53 x 79

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

LCM = 1121915024 = 2 x 2 x 2 x 2 x 53 x 79 x 16747

Step 4: Therefore, the least common multiple of 66988 and 66992 is 1121915024.