Least Common Multiple of 40026 and 40034

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

• Least Common Multiple of 40026 and 40034 by Prime method
• Least Common Multiple of 40026 and 40034 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 40026 and 40034. First we will calculate the prime factors of 40026 and 40034.

Prime Factorization of 40026

Prime factors of 40026 are 2, 3, 7,953. Prime factorization of 40026 in exponential form is:

40026 = 2¹×3¹×7¹×953¹

Prime Factorization of 40034

Prime factors of 40034 are 2, 37,541. Prime factorization of 40034 in exponential form is:

40034 = 2¹×37¹×541¹

Now multiplying the highest exponent prime factors to calculate the LCM of 40026 and 40034.

LCM(40026,40034) = 2¹×3¹×7¹×37¹×541¹×953¹
LCM(40026,40034) = 801200442

Factors of 40026

List of positive integer factors of 40026 that divides 40026 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 953, 1906, 2859, 5718, 6671, 13342, 20013, 40026

Factors of 40034

List of positive integer factors of 40034 that divides 40034 without a remainder.

1, 2, 37, 74, 541, 1082, 20017, 40034

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40026 and 40034, than apply into the LCM equation.

GCF(40026,40034) = 2
LCM(40026,40034) = ( 40026 × 40034) / 2
LCM(40026,40034) = 1602400884 / 2
LCM(40026,40034) = 801200442

(i) The LCM of 40034 and 40026 is associative

LCM of 40026 and 40034 = LCM of 40034 and 40026

1. What is the LCM of 40026 and 40034?

Answer: LCM of 40026 and 40034 is 801200442.

2. What are the Factors of 40026?

Answer: Factors of 40026 are 1, 2, 3, 6, 7, 14, 21, 42, 953, 1906, 2859, 5718, 6671, 13342, 20013, 40026. There are 16 integers that are factors of 40026. The greatest factor of 40026 is 40026.

3. What are the Factors of 40034?

Answer: Factors of 40034 are 1, 2, 37, 74, 541, 1082, 20017, 40034. There are 8 integers that are factors of 40034. The greatest factor of 40034 is 40034.

4. How to Find the LCM of 40026 and 40034?

Answer:

Least Common Multiple of 40026 and 40034 = 801200442

Step 1: Find the prime factorization of 40026

40026 = 2 x 3 x 7 x 953

Step 2: Find the prime factorization of 40034

40034 = 2 x 37 x 541

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

LCM = 801200442 = 2 x 3 x 7 x 37 x 541 x 953

Step 4: Therefore, the least common multiple of 40026 and 40034 is 801200442.