Least Common Multiple of 40672 and 40679

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 40679 the smallest integer that is 1654496288 that is divisible by both numbers.

Least Common Multiple (LCM) of 40672 and 40679 is 1654496288.

LCM(40672,40679) = 1654496288

LCM of 40672 and 40679

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

LCM of:
and

Least Common Multiple of 40672 and 40679

LCM of 40672 and 40679 is 1654496288

Least common multiple can be found by multiplying the highest exponent prime factors of 40672 and 40679. First we will calculate the prime factors of 40672 and 40679.

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 40679


19 40679
2141 2141
1

Prime factors of 40679 are 19,2141. Prime factorization of 40679 in exponential form is:

40679 = 191×21411

Now multiplying the highest exponent prime factors to calculate the LCM of 40672 and 40679.

LCM(40672,40679) = 25×191×311×411×21411
LCM(40672,40679) = 1654496288

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 40679

List of positive integer factors of 40679 that divides 40679 without a remainder.

1, 19, 2141, 40679

Least Common Multiple of 40672 and 40679 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 40679, than apply into the LCM equation.

GCF(40672,40679) = 1
LCM(40672,40679) = ( 40672 × 40679) / 1
LCM(40672,40679) = 1654496288 / 1
LCM(40672,40679) = 1654496288

Properties of LCM 40672 and 40679

(i) The LCM of 40679 and 40672 is associative

LCM of 40672 and 40679 = LCM of 40679 and 40672

Related Least Common Multiples of 40672

Related Least Common Multiples of 40679

Frequently Asked Questions on LCM of 40672 and 40679

1. What is the LCM of 40672 and 40679?

Answer: LCM of 40672 and 40679 is 1654496288.

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 40679?

Answer: Factors of 40679 are 1, 19, 2141, 40679. There are 4 integers that are factors of 40679. The greatest factor of 40679 is 40679.

4. How to Find the LCM of 40672 and 40679?

Answer:

Least Common Multiple of 40672 and 40679 = 1654496288

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 40679

40679 = 19 x 2141

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

LCM = 1654496288 = 2 x 2 x 2 x 2 x 2 x 19 x 31 x 41 x 2141

Step 4: Therefore, the least common multiple of 40672 and 40679 is 1654496288.