LCM for 204 and 340

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 69360 ÷ 68

LCM = 1020

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 1020

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 = 1020

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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: 1020). 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

and

LCM Table

Number 1Number 2LCM
20432566300
20432633252
20432722236
20432816728
20432967116
20433011220
20433167524
20433216932
20433322644
20433434068
20433568340
2043365712
20433768748
20433834476
20433923052
2043401020
20434169564
20434211628
20434369972
20434417544
20434523460
20434635292
20434770788
2043485916
20434971196
20435035700
20435123868
20435217952
20435372012
20435412036

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