LCM for 10 and 200

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 200?

Answer

LCM of 10 and 200 is 200

(Two hundred)

Finding LCM for 10 and 200 using GCF of these numbers

The first method to find LCM for numbers 10 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 200 is 10, so

LCM = (10 × 200) ÷ 10

LCM = 2000 ÷ 10

LCM = 200

Finding LCM for 10 and 200 by Listing Multiples

The second method to find LCM for numbers 10 and 200 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220

Multiples of 200: 200, 400, 600

So the LCM for 10 and 200 is 200

Finding LCM for 10 and 200 by Prime Factorization

Another method to find LCM for numbers 10 and 200 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

23 × 52 = 200

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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 10 and 200? (The answer is: 200). Select the first number (e.g. '10') and the second number (e.g. '200'). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
1200200
2200200
3200600
4200200
5200200
6200600
72001400
8200200
92001800
10200200
112002200
12200600
132002600
142001400
15200600
16200400
172003400
182001800
192003800
20200200
212004200
222002200
232004600
24200600
25200200
262002600
272005400
282001400
292005800
30200600

FAQ

What's the Least Common Multiple (LCM) of 10 and 200?

LCM of 10 and 200 is 200

How to find the LCM of 10 and 200 using prime factorization?

To find the LCM of 10 and 200, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 10 and 200: LCM = 200, GCF = 10.

See Also