LCM for 204 and 340

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What's the Least Common Multiple (LCM) of 204 and 340?

Answer

LCM of 204 and 340 is
1,020

(One thousand twenty)

Finding LCM for 204 and 340 using GCF of these numbers

The first method to find LCM for numbers 204 and 340 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 204 and 340 is 68, so

LCM = (204 × 340) ÷ 68

LCM = 69,360 ÷ 68

LCM = 1,020

Finding LCM for 204 and 340 by Listing Multiples

The second method to find LCM for numbers 204 and 340 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 204: 204, 408, 612, 816, 1020, 1224, 1428

Multiples of 340: 340, 680, 1020, 1360, 1700

So the LCM for 204 and 340 is 1,020

Finding LCM for 204 and 340 by Prime Factorization

Another method to find LCM for numbers 204 and 340 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 204: 2, 2, 3, 17 (exponent form: 22, 31, 171)

All Prime Factors of 340: 2, 2, 5, 17 (exponent form: 22, 51, 171)

22 × 31 × 171 × 51 = 1,020

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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 204 and 340? (The answer is: 1,020). Select the first number (e.g. '204') and the second number (e.g. '340'). 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
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LCM Table

Number 1Number 2LCM
20432566,300
20432633,252
20432722,236
20432816,728
20432967,116
20433011,220
20433167,524
20433216,932
20433322,644
20433434,068
20433568,340
2043365,712
20433768,748
20433834,476
20433923,052
2043401,020
20434169,564
20434211,628
20434369,972
20434417,544
20434523,460
20434635,292
20434770,788
2043485,916
20434971,196
20435035,700
20435123,868
20435217,952
20435372,012
20435412,036

FAQ

What's the Least Common Multiple (LCM) of 204 and 340?

LCM of 204 and 340 is 1,020

How to find the LCM of 204 and 340 using prime factorization?

To find the LCM of 204 and 340, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,020.

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 204 and 340: LCM = 1,020, GCF = 68.

See Also