Least Common Multiple of 36305 and 36312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36305 and 36312 the smallest integer that is 1318307160 that is divisible by both numbers.

Least Common Multiple (LCM) of 36305 and 36312 is 1318307160.

LCM(36305,36312) = 1318307160

LCM of 36305 and 36312

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

LCM of:
and

Least Common Multiple of 36305 and 36312

LCM of 36305 and 36312 is 1318307160

Least common multiple can be found by multiplying the highest exponent prime factors of 36305 and 36312. First we will calculate the prime factors of 36305 and 36312.

Prime Factorization of 36305


5 36305
53 7261
137 137
1

Prime factors of 36305 are 5, 53,137. Prime factorization of 36305 in exponential form is:

36305 = 51×531×1371

Prime Factorization of 36312


2 36312
2 18156
2 9078
3 4539
17 1513
89 89
1

Prime factors of 36312 are 2, 3, 17,89. Prime factorization of 36312 in exponential form is:

36312 = 23×31×171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 36305 and 36312.

LCM(36305,36312) = 23×31×51×171×531×891×1371
LCM(36305,36312) = 1318307160

Factors of 36305

List of positive integer factors of 36305 that divides 36305 without a remainder.

1, 5, 53, 137, 265, 685, 7261, 36305

Factors of 36312

List of positive integer factors of 36312 that divides 36312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156, 36312

Least Common Multiple of 36305 and 36312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36305 and 36312, than apply into the LCM equation.

GCF(36305,36312) = 1
LCM(36305,36312) = ( 36305 × 36312) / 1
LCM(36305,36312) = 1318307160 / 1
LCM(36305,36312) = 1318307160

Properties of LCM 36305 and 36312

(i) The LCM of 36312 and 36305 is associative

LCM of 36305 and 36312 = LCM of 36312 and 36305

Related Least Common Multiples of 36305

Related Least Common Multiples of 36312

Frequently Asked Questions on LCM of 36305 and 36312

1. What is the LCM of 36305 and 36312?

Answer: LCM of 36305 and 36312 is 1318307160.

2. What are the Factors of 36305?

Answer: Factors of 36305 are 1, 5, 53, 137, 265, 685, 7261, 36305. There are 8 integers that are factors of 36305. The greatest factor of 36305 is 36305.

3. What are the Factors of 36312?

Answer: Factors of 36312 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156, 36312. There are 32 integers that are factors of 36312. The greatest factor of 36312 is 36312.

4. How to Find the LCM of 36305 and 36312?

Answer:

Least Common Multiple of 36305 and 36312 = 1318307160

Step 1: Find the prime factorization of 36305

36305 = 5 x 53 x 137

Step 2: Find the prime factorization of 36312

36312 = 2 x 2 x 2 x 3 x 17 x 89

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

LCM = 1318307160 = 2 x 2 x 2 x 3 x 5 x 17 x 53 x 89 x 137

Step 4: Therefore, the least common multiple of 36305 and 36312 is 1318307160.