Least Common Multiple of 40677 and 40684

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

• Least Common Multiple of 40677 and 40684 by Prime method
• Least Common Multiple of 40677 and 40684 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40677 and 40684. First we will calculate the prime factors of 40677 and 40684.

Prime Factorization of 40677

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

40677 = 3¹×7¹×13¹×149¹

Prime Factorization of 40684

Prime factors of 40684 are 2, 7,1453. Prime factorization of 40684 in exponential form is:

40684 = 2²×7¹×1453¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40677 and 40684.

LCM(40677,40684) = 2²×3¹×7¹×13¹×149¹×1453¹
LCM(40677,40684) = 236414724

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

Factors of 40684

List of positive integer factors of 40684 that divides 40684 without a remainder.

1, 2, 4, 7, 14, 28, 1453, 2906, 5812, 10171, 20342, 40684

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40677 and 40684, than apply into the LCM equation.

GCF(40677,40684) = 7
LCM(40677,40684) = ( 40677 × 40684) / 7
LCM(40677,40684) = 1654903068 / 7
LCM(40677,40684) = 236414724

(i) The LCM of 40684 and 40677 is associative

LCM of 40677 and 40684 = LCM of 40684 and 40677

1. What is the LCM of 40677 and 40684?

Answer: LCM of 40677 and 40684 is 236414724.

2. 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.

3. What are the Factors of 40684?

Answer: Factors of 40684 are 1, 2, 4, 7, 14, 28, 1453, 2906, 5812, 10171, 20342, 40684. There are 12 integers that are factors of 40684. The greatest factor of 40684 is 40684.

4. How to Find the LCM of 40677 and 40684?

Answer:

Least Common Multiple of 40677 and 40684 = 236414724

Step 1: Find the prime factorization of 40677

40677 = 3 x 7 x 13 x 149

Step 2: Find the prime factorization of 40684

40684 = 2 x 2 x 7 x 1453

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

LCM = 236414724 = 2 x 2 x 3 x 7 x 13 x 149 x 1453

Step 4: Therefore, the least common multiple of 40677 and 40684 is 236414724.