Least Common Multiple of 356 and 360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 356 and 360 the smallest integer that is 32040 that is divisible by both numbers.

Least Common Multiple (LCM) of 356 and 360 is 32040.

LCM(356,360) = 32040

LCM of 356 and 360

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

LCM of:
and

Least Common Multiple of 356 and 360

LCM of 356 and 360 is 32040

Least common multiple can be found by multiplying the highest exponent prime factors of 356 and 360. First we will calculate the prime factors of 356 and 360.

Prime Factorization of 356


2 356
2 178
89 89
1

Prime factors of 356 are 2,89. Prime factorization of 356 in exponential form is:

356 = 22×891

Prime Factorization of 360


2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 360 are 2, 3,5. Prime factorization of 360 in exponential form is:

360 = 23×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 356 and 360.

LCM(356,360) = 23×32×51×891
LCM(356,360) = 32040

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Least Common Multiple of 356 and 360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 356 and 360, than apply into the LCM equation.

GCF(356,360) = 4
LCM(356,360) = ( 356 × 360) / 4
LCM(356,360) = 128160 / 4
LCM(356,360) = 32040

Properties of LCM 356 and 360

(i) The LCM of 360 and 356 is associative

LCM of 356 and 360 = LCM of 360 and 356

Related Least Common Multiples of 356

Related Least Common Multiples of 360

Frequently Asked Questions on LCM of 356 and 360

1. What is the LCM of 356 and 360?

Answer: LCM of 356 and 360 is 32040.

2. What are the Factors of 356?

Answer: Factors of 356 are 1, 2, 4, 89, 178, 356. There are 6 integers that are factors of 356. The greatest factor of 356 is 356.

3. What are the Factors of 360?

Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.

4. How to Find the LCM of 356 and 360?

Answer:

Least Common Multiple of 356 and 360 = 32040

Step 1: Find the prime factorization of 356

356 = 2 x 2 x 89

Step 2: Find the prime factorization of 360

360 = 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 32040 = 2 x 2 x 2 x 3 x 3 x 5 x 89

Step 4: Therefore, the least common multiple of 356 and 360 is 32040.