Least Common Multiple of 40672 and 40677

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 40677 the smallest integer that is 1654414944 that is divisible by both numbers.

Least Common Multiple (LCM) of 40672 and 40677 is 1654414944.

LCM(40672,40677) = 1654414944

LCM of 40672 and 40677

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

LCM of:
and

Least Common Multiple of 40672 and 40677

LCM of 40672 and 40677 is 1654414944

Least common multiple can be found by multiplying the highest exponent prime factors of 40672 and 40677. First we will calculate the prime factors of 40672 and 40677.

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 40677


3 40677
7 13559
13 1937
149 149
1

Prime factors of 40677 are 3, 7, 13,149. Prime factorization of 40677 in exponential form is:

40677 = 31×71×131×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 40672 and 40677.

LCM(40672,40677) = 25×31×71×131×311×411×1491
LCM(40672,40677) = 1654414944

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 40677

List of positive integer factors of 40677 that divides 40677 without a remainder.

1, 3, 7, 13, 21, 39, 91, 149, 273, 447, 1043, 1937, 3129, 5811, 13559, 40677

Least Common Multiple of 40672 and 40677 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 40677, than apply into the LCM equation.

GCF(40672,40677) = 1
LCM(40672,40677) = ( 40672 × 40677) / 1
LCM(40672,40677) = 1654414944 / 1
LCM(40672,40677) = 1654414944

Properties of LCM 40672 and 40677

(i) The LCM of 40677 and 40672 is associative

LCM of 40672 and 40677 = LCM of 40677 and 40672

Related Least Common Multiples of 40672

Related Least Common Multiples of 40677

Frequently Asked Questions on LCM of 40672 and 40677

1. What is the LCM of 40672 and 40677?

Answer: LCM of 40672 and 40677 is 1654414944.

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 40677?

Answer: Factors of 40677 are 1, 3, 7, 13, 21, 39, 91, 149, 273, 447, 1043, 1937, 3129, 5811, 13559, 40677. There are 16 integers that are factors of 40677. The greatest factor of 40677 is 40677.

4. How to Find the LCM of 40672 and 40677?

Answer:

Least Common Multiple of 40672 and 40677 = 1654414944

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 40677

40677 = 3 x 7 x 13 x 149

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

LCM = 1654414944 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 31 x 41 x 149

Step 4: Therefore, the least common multiple of 40672 and 40677 is 1654414944.