Least Common Multiple of 101 and 102

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 102 the smallest integer that is 10302 that is divisible by both numbers.

Least Common Multiple (LCM) of 101 and 102 is 10302.

LCM(101,102) = 10302

LCM of 101 and 102

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

LCM of:
and

Least Common Multiple of 101 and 102

LCM of 101 and 102 is 10302

Least common multiple can be found by multiplying the highest exponent prime factors of 101 and 102. First we will calculate the prime factors of 101 and 102.

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 102


2 102
3 51
17 17
1

Prime factors of 102 are 2, 3,17. Prime factorization of 102 in exponential form is:

102 = 21×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 101 and 102.

LCM(101,102) = 21×31×171×1011
LCM(101,102) = 10302

Factors of 101

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

1, 101

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Least Common Multiple of 101 and 102 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 102, than apply into the LCM equation.

GCF(101,102) = 1
LCM(101,102) = ( 101 × 102) / 1
LCM(101,102) = 10302 / 1
LCM(101,102) = 10302

Properties of LCM 101 and 102

(i) The LCM of 102 and 101 is associative

LCM of 101 and 102 = LCM of 102 and 101

Related Least Common Multiples of 101

Related Least Common Multiples of 102

Frequently Asked Questions on LCM of 101 and 102

1. What is the LCM of 101 and 102?

Answer: LCM of 101 and 102 is 10302.

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 102?

Answer: Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. There are 8 integers that are factors of 102. The greatest factor of 102 is 102.

4. How to Find the LCM of 101 and 102?

Answer:

Least Common Multiple of 101 and 102 = 10302

Step 1: Find the prime factorization of 101

101 = 101

Step 2: Find the prime factorization of 102

102 = 2 x 3 x 17

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

LCM = 10302 = 2 x 3 x 17 x 101

Step 4: Therefore, the least common multiple of 101 and 102 is 10302.