Least Common Multiple of 40672 and 40678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40672 and 40678 the smallest integer that is 827227808 that is divisible by both numbers.

Least Common Multiple (LCM) of 40672 and 40678 is 827227808.

LCM(40672,40678) = 827227808

LCM of 40672 and 40678

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

LCM of:
and

Least Common Multiple of 40672 and 40678

LCM of 40672 and 40678 is 827227808

Least common multiple can be found by multiplying the highest exponent prime factors of 40672 and 40678. First we will calculate the prime factors of 40672 and 40678.

Prime Factorization of 40672


2 40672
2 20336
2 10168
2 5084
2 2542
31 1271
41 41
1

Prime factors of 40672 are 2, 31,41. Prime factorization of 40672 in exponential form is:

40672 = 25×311×411

Prime Factorization of 40678


2 40678
11 20339
43 1849
43 43
1

Prime factors of 40678 are 2, 11,43. Prime factorization of 40678 in exponential form is:

40678 = 21×111×432

Now multiplying the highest exponent prime factors to calculate the LCM of 40672 and 40678.

LCM(40672,40678) = 25×111×311×411×432
LCM(40672,40678) = 827227808

Factors of 40672

List of positive integer factors of 40672 that divides 40672 without a remainder.

1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 2542, 5084, 10168, 20336, 40672

Factors of 40678

List of positive integer factors of 40678 that divides 40678 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946, 1849, 3698, 20339, 40678

Least Common Multiple of 40672 and 40678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40672 and 40678, than apply into the LCM equation.

GCF(40672,40678) = 2
LCM(40672,40678) = ( 40672 × 40678) / 2
LCM(40672,40678) = 1654455616 / 2
LCM(40672,40678) = 827227808

Properties of LCM 40672 and 40678

(i) The LCM of 40678 and 40672 is associative

LCM of 40672 and 40678 = LCM of 40678 and 40672

Related Least Common Multiples of 40672

Related Least Common Multiples of 40678

Frequently Asked Questions on LCM of 40672 and 40678

1. What is the LCM of 40672 and 40678?

Answer: LCM of 40672 and 40678 is 827227808.

2. What are the Factors of 40672?

Answer: Factors of 40672 are 1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 2542, 5084, 10168, 20336, 40672. There are 24 integers that are factors of 40672. The greatest factor of 40672 is 40672.

3. What are the Factors of 40678?

Answer: Factors of 40678 are 1, 2, 11, 22, 43, 86, 473, 946, 1849, 3698, 20339, 40678. There are 12 integers that are factors of 40678. The greatest factor of 40678 is 40678.

4. How to Find the LCM of 40672 and 40678?

Answer:

Least Common Multiple of 40672 and 40678 = 827227808

Step 1: Find the prime factorization of 40672

40672 = 2 x 2 x 2 x 2 x 2 x 31 x 41

Step 2: Find the prime factorization of 40678

40678 = 2 x 11 x 43 x 43

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

LCM = 827227808 = 2 x 2 x 2 x 2 x 2 x 11 x 31 x 41 x 43 x 43

Step 4: Therefore, the least common multiple of 40672 and 40678 is 827227808.