Least Common Multiple of 351 and 359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 351 and 359 the smallest integer that is 126009 that is divisible by both numbers.

Least Common Multiple (LCM) of 351 and 359 is 126009.

LCM(351,359) = 126009

LCM of 351 and 359

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

LCM of:
and

Least Common Multiple of 351 and 359

LCM of 351 and 359 is 126009

Least common multiple can be found by multiplying the highest exponent prime factors of 351 and 359. First we will calculate the prime factors of 351 and 359.

Prime Factorization of 351


3 351
3 117
3 39
13 13
1

Prime factors of 351 are 3,13. Prime factorization of 351 in exponential form is:

351 = 33×131

Prime Factorization of 359


359 359
1

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 351 and 359.

LCM(351,359) = 33×131×3591
LCM(351,359) = 126009

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1, 359

Least Common Multiple of 351 and 359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 351 and 359, than apply into the LCM equation.

GCF(351,359) = 1
LCM(351,359) = ( 351 × 359) / 1
LCM(351,359) = 126009 / 1
LCM(351,359) = 126009

Properties of LCM 351 and 359

(i) The LCM of 359 and 351 is associative

LCM of 351 and 359 = LCM of 359 and 351

Related Least Common Multiples of 351

Related Least Common Multiples of 359

Frequently Asked Questions on LCM of 351 and 359

1. What is the LCM of 351 and 359?

Answer: LCM of 351 and 359 is 126009.

2. What are the Factors of 351?

Answer: Factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351. There are 8 integers that are factors of 351. The greatest factor of 351 is 351.

3. What are the Factors of 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

4. How to Find the LCM of 351 and 359?

Answer:

Least Common Multiple of 351 and 359 = 126009

Step 1: Find the prime factorization of 351

351 = 3 x 3 x 3 x 13

Step 2: Find the prime factorization of 359

359 = 359

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

LCM = 126009 = 3 x 3 x 3 x 13 x 359

Step 4: Therefore, the least common multiple of 351 and 359 is 126009.