What is the LCM of 100 and 500?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 100 and 500?

Answer: LCM of 100 and 500 is 500

(Five hundred)

Finding LCM for 100 and 500 using GCF's of these numbers

The first method to find LCM for numbers 100 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 500 is 100, so

LCM = (100 × 500) ÷ 100

LCM = 50000 ÷ 100

LCM = 500

Finding LCM for 100 and 500 by Listing Multiples

The second method to find LCM for numbers 100 and 500 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700

Multiples of 500: 500, 1000, 1500, 2000, 2500, 3000, 3500, [...], 500

So the LCM for 100 and 500 is 500

Finding LCM for 100 and 500 by Prime Factorization

Another method to find LCM for numbers 100 and 500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 500: 2, 2, 5, 5, 5 (exponent form: 2², 5³)

2² × 5³ = 500

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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 100 and 500? (The answer is: 500). Select the first number (e.g. '100') and the second number (e.g. '500'). 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
85	500	8500
86	500	21500
87	500	43500
88	500	11000
89	500	44500
90	500	4500
91	500	45500
92	500	11500
93	500	46500
94	500	23500
95	500	9500
96	500	12000
97	500	48500
98	500	24500
99	500	49500
100	500	500
101	500	50500
102	500	25500
103	500	51500
104	500	13000
105	500	10500
106	500	26500
107	500	53500
108	500	13500
109	500	54500
110	500	5500
111	500	55500
112	500	14000
113	500	56500
114	500	28500

LCM for 100 and 500

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 100 and 500?

Finding LCM for 100 and 500 using GCF's of these numbers

Finding LCM for 100 and 500 by Listing Multiples

Finding LCM for 100 and 500 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 100 and 500?

See Also