Least Common Multiple of 66992 and 66999

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 66999 the smallest integer that is 4488397008 that is divisible by both numbers.

Least Common Multiple (LCM) of 66992 and 66999 is 4488397008.

LCM(66992,66999) = 4488397008

LCM of 66992 and 66999

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

LCM of:
and

Least Common Multiple of 66992 and 66999

LCM of 66992 and 66999 is 4488397008

Least common multiple can be found by multiplying the highest exponent prime factors of 66992 and 66999. First we will calculate the prime factors of 66992 and 66999.

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 66999


3 66999
23 22333
971 971
1

Prime factors of 66999 are 3, 23,971. Prime factorization of 66999 in exponential form is:

66999 = 31×231×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 66992 and 66999.

LCM(66992,66999) = 24×31×231×531×791×9711
LCM(66992,66999) = 4488397008

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 66999

List of positive integer factors of 66999 that divides 66999 without a remainder.

1, 3, 23, 69, 971, 2913, 22333, 66999

Least Common Multiple of 66992 and 66999 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 66999, than apply into the LCM equation.

GCF(66992,66999) = 1
LCM(66992,66999) = ( 66992 × 66999) / 1
LCM(66992,66999) = 4488397008 / 1
LCM(66992,66999) = 4488397008

Properties of LCM 66992 and 66999

(i) The LCM of 66999 and 66992 is associative

LCM of 66992 and 66999 = LCM of 66999 and 66992

Related Least Common Multiples of 66992

Related Least Common Multiples of 66999

Frequently Asked Questions on LCM of 66992 and 66999

1. What is the LCM of 66992 and 66999?

Answer: LCM of 66992 and 66999 is 4488397008.

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 66999?

Answer: Factors of 66999 are 1, 3, 23, 69, 971, 2913, 22333, 66999. There are 8 integers that are factors of 66999. The greatest factor of 66999 is 66999.

4. How to Find the LCM of 66992 and 66999?

Answer:

Least Common Multiple of 66992 and 66999 = 4488397008

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 66999

66999 = 3 x 23 x 971

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

LCM = 4488397008 = 2 x 2 x 2 x 2 x 3 x 23 x 53 x 79 x 971

Step 4: Therefore, the least common multiple of 66992 and 66999 is 4488397008.