Least Common Multiple of 36090 and 36094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36090 and 36094 the smallest integer that is 651316230 that is divisible by both numbers.

Least Common Multiple (LCM) of 36090 and 36094 is 651316230.

LCM(36090,36094) = 651316230

LCM of 36090 and 36094

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

LCM of:
and

Least Common Multiple of 36090 and 36094

LCM of 36090 and 36094 is 651316230

Least common multiple can be found by multiplying the highest exponent prime factors of 36090 and 36094. First we will calculate the prime factors of 36090 and 36094.

Prime Factorization of 36090


2 36090
3 18045
3 6015
5 2005
401 401
1

Prime factors of 36090 are 2, 3, 5,401. Prime factorization of 36090 in exponential form is:

36090 = 21×32×51×4011

Prime Factorization of 36094


2 36094
18047 18047
1

Prime factors of 36094 are 2,18047. Prime factorization of 36094 in exponential form is:

36094 = 21×180471

Now multiplying the highest exponent prime factors to calculate the LCM of 36090 and 36094.

LCM(36090,36094) = 21×32×51×4011×180471
LCM(36090,36094) = 651316230

Factors of 36090

List of positive integer factors of 36090 that divides 36090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 401, 802, 1203, 2005, 2406, 3609, 4010, 6015, 7218, 12030, 18045, 36090

Factors of 36094

List of positive integer factors of 36094 that divides 36094 without a remainder.

1, 2, 18047, 36094

Least Common Multiple of 36090 and 36094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36090 and 36094, than apply into the LCM equation.

GCF(36090,36094) = 2
LCM(36090,36094) = ( 36090 × 36094) / 2
LCM(36090,36094) = 1302632460 / 2
LCM(36090,36094) = 651316230

Properties of LCM 36090 and 36094

(i) The LCM of 36094 and 36090 is associative

LCM of 36090 and 36094 = LCM of 36094 and 36090

Related Least Common Multiples of 36090

Related Least Common Multiples of 36094

Frequently Asked Questions on LCM of 36090 and 36094

1. What is the LCM of 36090 and 36094?

Answer: LCM of 36090 and 36094 is 651316230.

2. What are the Factors of 36090?

Answer: Factors of 36090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 401, 802, 1203, 2005, 2406, 3609, 4010, 6015, 7218, 12030, 18045, 36090. There are 24 integers that are factors of 36090. The greatest factor of 36090 is 36090.

3. What are the Factors of 36094?

Answer: Factors of 36094 are 1, 2, 18047, 36094. There are 4 integers that are factors of 36094. The greatest factor of 36094 is 36094.

4. How to Find the LCM of 36090 and 36094?

Answer:

Least Common Multiple of 36090 and 36094 = 651316230

Step 1: Find the prime factorization of 36090

36090 = 2 x 3 x 3 x 5 x 401

Step 2: Find the prime factorization of 36094

36094 = 2 x 18047

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

LCM = 651316230 = 2 x 3 x 3 x 5 x 401 x 18047

Step 4: Therefore, the least common multiple of 36090 and 36094 is 651316230.