Least Common Multiple of 101 and 107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 101 and 107 the smallest integer that is 10807 that is divisible by both numbers.

Least Common Multiple (LCM) of 101 and 107 is 10807.

LCM(101,107) = 10807

LCM of 101 and 107

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

LCM of:
and

Least Common Multiple of 101 and 107

LCM of 101 and 107 is 10807

Least common multiple can be found by multiplying the highest exponent prime factors of 101 and 107. First we will calculate the prime factors of 101 and 107.

Prime Factorization of 101


101 101
1

Prime factors of 101 are 101. Prime factorization of 101 in exponential form is:

101 = 1011

Prime Factorization of 107


107 107
1

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 101 and 107.

LCM(101,107) = 1011×1071
LCM(101,107) = 10807

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1, 101

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1, 107

Least Common Multiple of 101 and 107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 101 and 107, than apply into the LCM equation.

GCF(101,107) = 1
LCM(101,107) = ( 101 × 107) / 1
LCM(101,107) = 10807 / 1
LCM(101,107) = 10807

Properties of LCM 101 and 107

(i) The LCM of 107 and 101 is associative

LCM of 101 and 107 = LCM of 107 and 101

Related Least Common Multiples of 101

Related Least Common Multiples of 107

Frequently Asked Questions on LCM of 101 and 107

1. What is the LCM of 101 and 107?

Answer: LCM of 101 and 107 is 10807.

2. What are the Factors of 101?

Answer: Factors of 101 are 1, 101. There are 2 integers that are factors of 101. The greatest factor of 101 is 101.

3. What are the Factors of 107?

Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.

4. How to Find the LCM of 101 and 107?

Answer:

Least Common Multiple of 101 and 107 = 10807

Step 1: Find the prime factorization of 101

101 = 101

Step 2: Find the prime factorization of 107

107 = 107

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

LCM = 10807 = 101 x 107

Step 4: Therefore, the least common multiple of 101 and 107 is 10807.