Least Common Multiple of 35215 and 35223

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

• Least Common Multiple of 35215 and 35223 by Prime method
• Least Common Multiple of 35215 and 35223 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 35215 and 35223. First we will calculate the prime factors of 35215 and 35223.

Prime Factorization of 35215

Prime factors of 35215 are 5,7043. Prime factorization of 35215 in exponential form is:

35215 = 5¹×7043¹

Prime Factorization of 35223

Prime factors of 35223 are 3, 59,199. Prime factorization of 35223 in exponential form is:

35223 = 3¹×59¹×199¹

Now multiplying the highest exponent prime factors to calculate the LCM of 35215 and 35223.

LCM(35215,35223) = 3¹×5¹×59¹×199¹×7043¹
LCM(35215,35223) = 1240377945

Factors of 35215

List of positive integer factors of 35215 that divides 35215 without a remainder.

1, 5, 7043, 35215

Factors of 35223

List of positive integer factors of 35223 that divides 35223 without a remainder.

1, 3, 59, 177, 199, 597, 11741, 35223

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35215 and 35223, than apply into the LCM equation.

GCF(35215,35223) = 1
LCM(35215,35223) = ( 35215 × 35223) / 1
LCM(35215,35223) = 1240377945 / 1
LCM(35215,35223) = 1240377945

(i) The LCM of 35223 and 35215 is associative

LCM of 35215 and 35223 = LCM of 35223 and 35215

1. What is the LCM of 35215 and 35223?

Answer: LCM of 35215 and 35223 is 1240377945.

2. What are the Factors of 35215?

Answer: Factors of 35215 are 1, 5, 7043, 35215. There are 4 integers that are factors of 35215. The greatest factor of 35215 is 35215.

3. What are the Factors of 35223?

Answer: Factors of 35223 are 1, 3, 59, 177, 199, 597, 11741, 35223. There are 8 integers that are factors of 35223. The greatest factor of 35223 is 35223.

4. How to Find the LCM of 35215 and 35223?

Answer:

Least Common Multiple of 35215 and 35223 = 1240377945

Step 1: Find the prime factorization of 35215

35215 = 5 x 7043

Step 2: Find the prime factorization of 35223

35223 = 3 x 59 x 199

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

LCM = 1240377945 = 3 x 5 x 59 x 199 x 7043

Step 4: Therefore, the least common multiple of 35215 and 35223 is 1240377945.