Least Common Multiple of 146355 and 146361

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

• Least Common Multiple of 146355 and 146361 by Prime method
• Least Common Multiple of 146355 and 146361 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146355 and 146361. First we will calculate the prime factors of 146355 and 146361.

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

Prime Factorization of 146361

Prime factors of 146361 are 3,48787. Prime factorization of 146361 in exponential form is:

146361 = 3¹×48787¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146355 and 146361.

LCM(146355,146361) = 3¹×5¹×11¹×887¹×48787¹
LCM(146355,146361) = 7140221385

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

Factors of 146361

List of positive integer factors of 146361 that divides 146361 without a remainder.

1, 3, 48787, 146361

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146355 and 146361, than apply into the LCM equation.

GCF(146355,146361) = 3
LCM(146355,146361) = ( 146355 × 146361) / 3
LCM(146355,146361) = 21420664155 / 3
LCM(146355,146361) = 7140221385

(i) The LCM of 146361 and 146355 is associative

LCM of 146355 and 146361 = LCM of 146361 and 146355

1. What is the LCM of 146355 and 146361?

Answer: LCM of 146355 and 146361 is 7140221385.

2. 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.

3. What are the Factors of 146361?

Answer: Factors of 146361 are 1, 3, 48787, 146361. There are 4 integers that are factors of 146361. The greatest factor of 146361 is 146361.

4. How to Find the LCM of 146355 and 146361?

Answer:

Least Common Multiple of 146355 and 146361 = 7140221385

Step 1: Find the prime factorization of 146355

146355 = 3 x 5 x 11 x 887

Step 2: Find the prime factorization of 146361

146361 = 3 x 48787

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

LCM = 7140221385 = 3 x 5 x 11 x 887 x 48787

Step 4: Therefore, the least common multiple of 146355 and 146361 is 7140221385.