Least Common Multiple of 66976 and 66978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 66976 and 66978 the smallest integer that is 2242959264 that is divisible by both numbers.

Least Common Multiple (LCM) of 66976 and 66978 is 2242959264.

LCM(66976,66978) = 2242959264

LCM of 66976 and 66978

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

LCM of:
and

Least Common Multiple of 66976 and 66978

LCM of 66976 and 66978 is 2242959264

Least common multiple can be found by multiplying the highest exponent prime factors of 66976 and 66978. First we will calculate the prime factors of 66976 and 66978.

Prime Factorization of 66976


2 66976
2 33488
2 16744
2 8372
2 4186
7 2093
13 299
23 23
1

Prime factors of 66976 are 2, 7, 13,23. Prime factorization of 66976 in exponential form is:

66976 = 25×71×131×231

Prime Factorization of 66978


2 66978
3 33489
3 11163
61 3721
61 61
1

Prime factors of 66978 are 2, 3,61. Prime factorization of 66978 in exponential form is:

66978 = 21×32×612

Now multiplying the highest exponent prime factors to calculate the LCM of 66976 and 66978.

LCM(66976,66978) = 25×32×71×131×231×612
LCM(66976,66978) = 2242959264

Factors of 66976

List of positive integer factors of 66976 that divides 66976 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 32, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 224, 299, 322, 364, 368, 416, 598, 644, 728, 736, 1196, 1288, 1456, 2093, 2392, 2576, 2912, 4186, 4784, 5152, 8372, 9568, 16744, 33488, 66976

Factors of 66978

List of positive integer factors of 66978 that divides 66978 without a remainder.

1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098, 3721, 7442, 11163, 22326, 33489, 66978

Least Common Multiple of 66976 and 66978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66976 and 66978, than apply into the LCM equation.

GCF(66976,66978) = 2
LCM(66976,66978) = ( 66976 × 66978) / 2
LCM(66976,66978) = 4485918528 / 2
LCM(66976,66978) = 2242959264

Properties of LCM 66976 and 66978

(i) The LCM of 66978 and 66976 is associative

LCM of 66976 and 66978 = LCM of 66978 and 66976

Related Least Common Multiples of 66976

Related Least Common Multiples of 66978

Frequently Asked Questions on LCM of 66976 and 66978

1. What is the LCM of 66976 and 66978?

Answer: LCM of 66976 and 66978 is 2242959264.

2. What are the Factors of 66976?

Answer: Factors of 66976 are 1, 2, 4, 7, 8, 13, 14, 16, 23, 26, 28, 32, 46, 52, 56, 91, 92, 104, 112, 161, 182, 184, 208, 224, 299, 322, 364, 368, 416, 598, 644, 728, 736, 1196, 1288, 1456, 2093, 2392, 2576, 2912, 4186, 4784, 5152, 8372, 9568, 16744, 33488, 66976. There are 48 integers that are factors of 66976. The greatest factor of 66976 is 66976.

3. What are the Factors of 66978?

Answer: Factors of 66978 are 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098, 3721, 7442, 11163, 22326, 33489, 66978. There are 18 integers that are factors of 66978. The greatest factor of 66978 is 66978.

4. How to Find the LCM of 66976 and 66978?

Answer:

Least Common Multiple of 66976 and 66978 = 2242959264

Step 1: Find the prime factorization of 66976

66976 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 23

Step 2: Find the prime factorization of 66978

66978 = 2 x 3 x 3 x 61 x 61

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

LCM = 2242959264 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 13 x 23 x 61 x 61

Step 4: Therefore, the least common multiple of 66976 and 66978 is 2242959264.