Least Common Multiple of 66992 and 66998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66992 and 66998 the smallest integer that is 2244165008 that is divisible by both numbers.

Least Common Multiple (LCM) of 66992 and 66998 is 2244165008.

LCM(66992,66998) = 2244165008

LCM of 66992 and 66998

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

LCM of:
and

Least Common Multiple of 66992 and 66998

LCM of 66992 and 66998 is 2244165008

Least common multiple can be found by multiplying the highest exponent prime factors of 66992 and 66998. First we will calculate the prime factors of 66992 and 66998.

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

Prime Factorization of 66998


2 66998
139 33499
241 241
1

Prime factors of 66998 are 2, 139,241. Prime factorization of 66998 in exponential form is:

66998 = 21×1391×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 66992 and 66998.

LCM(66992,66998) = 24×531×791×1391×2411
LCM(66992,66998) = 2244165008

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

Factors of 66998

List of positive integer factors of 66998 that divides 66998 without a remainder.

1, 2, 139, 241, 278, 482, 33499, 66998

Least Common Multiple of 66992 and 66998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66992 and 66998, than apply into the LCM equation.

GCF(66992,66998) = 2
LCM(66992,66998) = ( 66992 × 66998) / 2
LCM(66992,66998) = 4488330016 / 2
LCM(66992,66998) = 2244165008

Properties of LCM 66992 and 66998

(i) The LCM of 66998 and 66992 is associative

LCM of 66992 and 66998 = LCM of 66998 and 66992

Related Least Common Multiples of 66992

Related Least Common Multiples of 66998

Frequently Asked Questions on LCM of 66992 and 66998

1. What is the LCM of 66992 and 66998?

Answer: LCM of 66992 and 66998 is 2244165008.

2. 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.

3. What are the Factors of 66998?

Answer: Factors of 66998 are 1, 2, 139, 241, 278, 482, 33499, 66998. There are 8 integers that are factors of 66998. The greatest factor of 66998 is 66998.

4. How to Find the LCM of 66992 and 66998?

Answer:

Least Common Multiple of 66992 and 66998 = 2244165008

Step 1: Find the prime factorization of 66992

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

Step 2: Find the prime factorization of 66998

66998 = 2 x 139 x 241

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

LCM = 2244165008 = 2 x 2 x 2 x 2 x 53 x 79 x 139 x 241

Step 4: Therefore, the least common multiple of 66992 and 66998 is 2244165008.