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
1055110
1057570
1058290
1059590
106060
10100100
10105210
10110110
10120120
10135270
10145290
10150150
10155310
10180180
10195390
10200200
10215430
10225450
10235470
10250250
10260260
10265530
10275550
10280280
10305610
10310310
10320320
10325650
10330330
10350350

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