Least Common Multiple of 101 and 104

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 104 the smallest integer that is 10504 that is divisible by both numbers.

Least Common Multiple (LCM) of 101 and 104 is 10504.

LCM(101,104) = 10504

LCM of 101 and 104

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

LCM of:
and

Least Common Multiple of 101 and 104

LCM of 101 and 104 is 10504

Least common multiple can be found by multiplying the highest exponent prime factors of 101 and 104. First we will calculate the prime factors of 101 and 104.

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 104


2 104
2 52
2 26
13 13
1

Prime factors of 104 are 2,13. Prime factorization of 104 in exponential form is:

104 = 23×131

Now multiplying the highest exponent prime factors to calculate the LCM of 101 and 104.

LCM(101,104) = 23×131×1011
LCM(101,104) = 10504

Factors of 101

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

1, 101

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Least Common Multiple of 101 and 104 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 104, than apply into the LCM equation.

GCF(101,104) = 1
LCM(101,104) = ( 101 × 104) / 1
LCM(101,104) = 10504 / 1
LCM(101,104) = 10504

Properties of LCM 101 and 104

(i) The LCM of 104 and 101 is associative

LCM of 101 and 104 = LCM of 104 and 101

Related Least Common Multiples of 101

Related Least Common Multiples of 104

Frequently Asked Questions on LCM of 101 and 104

1. What is the LCM of 101 and 104?

Answer: LCM of 101 and 104 is 10504.

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 104?

Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.

4. How to Find the LCM of 101 and 104?

Answer:

Least Common Multiple of 101 and 104 = 10504

Step 1: Find the prime factorization of 101

101 = 101

Step 2: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

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

LCM = 10504 = 2 x 2 x 2 x 13 x 101

Step 4: Therefore, the least common multiple of 101 and 104 is 10504.