Least Common Multiple of 36314 and 36322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36314 and 36322 the smallest integer that is 659498554 that is divisible by both numbers.

Least Common Multiple (LCM) of 36314 and 36322 is 659498554.

LCM(36314,36322) = 659498554

LCM of 36314 and 36322

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

LCM of:
and

Least Common Multiple of 36314 and 36322

LCM of 36314 and 36322 is 659498554

Least common multiple can be found by multiplying the highest exponent prime factors of 36314 and 36322. First we will calculate the prime factors of 36314 and 36322.

Prime Factorization of 36314


2 36314
67 18157
271 271
1

Prime factors of 36314 are 2, 67,271. Prime factorization of 36314 in exponential form is:

36314 = 21×671×2711

Prime Factorization of 36322


2 36322
11 18161
13 1651
127 127
1

Prime factors of 36322 are 2, 11, 13,127. Prime factorization of 36322 in exponential form is:

36322 = 21×111×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 36314 and 36322.

LCM(36314,36322) = 21×111×131×671×1271×2711
LCM(36314,36322) = 659498554

Factors of 36314

List of positive integer factors of 36314 that divides 36314 without a remainder.

1, 2, 67, 134, 271, 542, 18157, 36314

Factors of 36322

List of positive integer factors of 36322 that divides 36322 without a remainder.

1, 2, 11, 13, 22, 26, 127, 143, 254, 286, 1397, 1651, 2794, 3302, 18161, 36322

Least Common Multiple of 36314 and 36322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36314 and 36322, than apply into the LCM equation.

GCF(36314,36322) = 2
LCM(36314,36322) = ( 36314 × 36322) / 2
LCM(36314,36322) = 1318997108 / 2
LCM(36314,36322) = 659498554

Properties of LCM 36314 and 36322

(i) The LCM of 36322 and 36314 is associative

LCM of 36314 and 36322 = LCM of 36322 and 36314

Related Least Common Multiples of 36314

Related Least Common Multiples of 36322

Frequently Asked Questions on LCM of 36314 and 36322

1. What is the LCM of 36314 and 36322?

Answer: LCM of 36314 and 36322 is 659498554.

2. What are the Factors of 36314?

Answer: Factors of 36314 are 1, 2, 67, 134, 271, 542, 18157, 36314. There are 8 integers that are factors of 36314. The greatest factor of 36314 is 36314.

3. What are the Factors of 36322?

Answer: Factors of 36322 are 1, 2, 11, 13, 22, 26, 127, 143, 254, 286, 1397, 1651, 2794, 3302, 18161, 36322. There are 16 integers that are factors of 36322. The greatest factor of 36322 is 36322.

4. How to Find the LCM of 36314 and 36322?

Answer:

Least Common Multiple of 36314 and 36322 = 659498554

Step 1: Find the prime factorization of 36314

36314 = 2 x 67 x 271

Step 2: Find the prime factorization of 36322

36322 = 2 x 11 x 13 x 127

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

LCM = 659498554 = 2 x 11 x 13 x 67 x 127 x 271

Step 4: Therefore, the least common multiple of 36314 and 36322 is 659498554.