Least Common Multiple of 146348 and 146355

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

• Least Common Multiple of 146348 and 146355 by Prime method
• Least Common Multiple of 146348 and 146355 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146348 and 146355. First we will calculate the prime factors of 146348 and 146355.

Prime Factorization of 146348

Prime factors of 146348 are 2,36587. Prime factorization of 146348 in exponential form is:

146348 = 2²×36587¹

Prime Factorization of 146355

Prime factors of 146355 are 3, 5, 11,887. Prime factorization of 146355 in exponential form is:

146355 = 3¹×5¹×11¹×887¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146348 and 146355.

LCM(146348,146355) = 2²×3¹×5¹×11¹×887¹×36587¹
LCM(146348,146355) = 21418761540

Factors of 146348

List of positive integer factors of 146348 that divides 146348 without a remainder.

1, 2, 4, 36587, 73174, 146348

Factors of 146355

List of positive integer factors of 146355 that divides 146355 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 887, 2661, 4435, 9757, 13305, 29271, 48785, 146355

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146348 and 146355, than apply into the LCM equation.

GCF(146348,146355) = 1
LCM(146348,146355) = ( 146348 × 146355) / 1
LCM(146348,146355) = 21418761540 / 1
LCM(146348,146355) = 21418761540

(i) The LCM of 146355 and 146348 is associative

LCM of 146348 and 146355 = LCM of 146355 and 146348

1. What is the LCM of 146348 and 146355?

Answer: LCM of 146348 and 146355 is 21418761540.

2. What are the Factors of 146348?

Answer: Factors of 146348 are 1, 2, 4, 36587, 73174, 146348. There are 6 integers that are factors of 146348. The greatest factor of 146348 is 146348.

3. What are the Factors of 146355?

Answer: Factors of 146355 are 1, 3, 5, 11, 15, 33, 55, 165, 887, 2661, 4435, 9757, 13305, 29271, 48785, 146355. There are 16 integers that are factors of 146355. The greatest factor of 146355 is 146355.

4. How to Find the LCM of 146348 and 146355?

Answer:

Least Common Multiple of 146348 and 146355 = 21418761540

Step 1: Find the prime factorization of 146348

146348 = 2 x 2 x 36587

Step 2: Find the prime factorization of 146355

146355 = 3 x 5 x 11 x 887

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

LCM = 21418761540 = 2 x 2 x 3 x 5 x 11 x 887 x 36587

Step 4: Therefore, the least common multiple of 146348 and 146355 is 21418761540.