Least Common Multiple of 36007 and 36011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36007 and 36011 the smallest integer that is 1296648077 that is divisible by both numbers.

Least Common Multiple (LCM) of 36007 and 36011 is 1296648077.

LCM(36007,36011) = 1296648077

LCM of 36007 and 36011

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

LCM of:
and

Least Common Multiple of 36007 and 36011

LCM of 36007 and 36011 is 1296648077

Least common multiple can be found by multiplying the highest exponent prime factors of 36007 and 36011. First we will calculate the prime factors of 36007 and 36011.

Prime Factorization of 36007


36007 36007
1

Prime factors of 36007 are 36007. Prime factorization of 36007 in exponential form is:

36007 = 360071

Prime Factorization of 36011


36011 36011
1

Prime factors of 36011 are 36011. Prime factorization of 36011 in exponential form is:

36011 = 360111

Now multiplying the highest exponent prime factors to calculate the LCM of 36007 and 36011.

LCM(36007,36011) = 360071×360111
LCM(36007,36011) = 1296648077

Factors of 36007

List of positive integer factors of 36007 that divides 36007 without a remainder.

1, 36007

Factors of 36011

List of positive integer factors of 36011 that divides 36011 without a remainder.

1, 36011

Least Common Multiple of 36007 and 36011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36007 and 36011, than apply into the LCM equation.

GCF(36007,36011) = 1
LCM(36007,36011) = ( 36007 × 36011) / 1
LCM(36007,36011) = 1296648077 / 1
LCM(36007,36011) = 1296648077

Properties of LCM 36007 and 36011

(i) The LCM of 36011 and 36007 is associative

LCM of 36007 and 36011 = LCM of 36011 and 36007

Related Least Common Multiples of 36007

Related Least Common Multiples of 36011

Frequently Asked Questions on LCM of 36007 and 36011

1. What is the LCM of 36007 and 36011?

Answer: LCM of 36007 and 36011 is 1296648077.

2. What are the Factors of 36007?

Answer: Factors of 36007 are 1, 36007. There are 2 integers that are factors of 36007. The greatest factor of 36007 is 36007.

3. What are the Factors of 36011?

Answer: Factors of 36011 are 1, 36011. There are 2 integers that are factors of 36011. The greatest factor of 36011 is 36011.

4. How to Find the LCM of 36007 and 36011?

Answer:

Least Common Multiple of 36007 and 36011 = 1296648077

Step 1: Find the prime factorization of 36007

36007 = 36007

Step 2: Find the prime factorization of 36011

36011 = 36011

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

LCM = 1296648077 = 36007 x 36011

Step 4: Therefore, the least common multiple of 36007 and 36011 is 1296648077.