Least Common Multiple of 101 and 108

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 108 the smallest integer that is 10908 that is divisible by both numbers.

Least Common Multiple (LCM) of 101 and 108 is 10908.

LCM(101,108) = 10908

LCM of 101 and 108

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

LCM of:
and

Least Common Multiple of 101 and 108

LCM of 101 and 108 is 10908

Least common multiple can be found by multiplying the highest exponent prime factors of 101 and 108. First we will calculate the prime factors of 101 and 108.

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 108


2 108
2 54
3 27
3 9
3 3
1

Prime factors of 108 are 2,3. Prime factorization of 108 in exponential form is:

108 = 22×33

Now multiplying the highest exponent prime factors to calculate the LCM of 101 and 108.

LCM(101,108) = 22×33×1011
LCM(101,108) = 10908

Factors of 101

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

1, 101

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Least Common Multiple of 101 and 108 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 108, than apply into the LCM equation.

GCF(101,108) = 1
LCM(101,108) = ( 101 × 108) / 1
LCM(101,108) = 10908 / 1
LCM(101,108) = 10908

Properties of LCM 101 and 108

(i) The LCM of 108 and 101 is associative

LCM of 101 and 108 = LCM of 108 and 101

Related Least Common Multiples of 101

Related Least Common Multiples of 108

Frequently Asked Questions on LCM of 101 and 108

1. What is the LCM of 101 and 108?

Answer: LCM of 101 and 108 is 10908.

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 108?

Answer: Factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108. There are 12 integers that are factors of 108. The greatest factor of 108 is 108.

4. How to Find the LCM of 101 and 108?

Answer:

Least Common Multiple of 101 and 108 = 10908

Step 1: Find the prime factorization of 101

101 = 101

Step 2: Find the prime factorization of 108

108 = 2 x 2 x 3 x 3 x 3

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

LCM = 10908 = 2 x 2 x 3 x 3 x 3 x 101

Step 4: Therefore, the least common multiple of 101 and 108 is 10908.