What is the LCM of 6 and 100?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 6 and 100?

Answer: LCM of 6 and 100 is 300

(Three hundred)

Finding LCM for 6 and 100 using GCF's of these numbers

The first method to find LCM for numbers 6 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 100 is 2, so

LCM = (6 × 100) ÷ 2

LCM = 600 ÷ 2

LCM = 300

Finding LCM for 6 and 100 by Listing Multiples

The second method to find LCM for numbers 6 and 100 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, 300, 306, 312

Multiples of 100: 100, 200, 300, 400, 500

So the LCM for 6 and 100 is 300

Finding LCM for 6 and 100 by Prime Factorization

Another method to find LCM for numbers 6 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 6: 2, 3 (exponent form: 2¹, 3¹)

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 2², 5²)

2² × 3¹ × 5² = 300

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 6 and 100? (The answer is: 300). Select the first number (e.g. '6') and the second number (e.g. '100'). After that hit the 'Calculate' button.

Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

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LCM Table

Number 1	Number 2	LCM
1	100	100
2	100	100
3	100	300
4	100	100
5	100	100
6	100	300
7	100	700
8	100	200
9	100	900
10	100	100
11	100	1100
12	100	300
13	100	1300
14	100	700
15	100	300
16	100	400
17	100	1700
18	100	900
19	100	1900
20	100	100
21	100	2100
22	100	1100
23	100	2300
24	100	600
25	100	100
26	100	1300
27	100	2700
28	100	700
29	100	2900
30	100	300

LCM for 6 and 100

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 6 and 100?

Finding LCM for 6 and 100 using GCF's of these numbers

Finding LCM for 6 and 100 by Listing Multiples

Finding LCM for 6 and 100 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 6 and 100?

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