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

Related Calculations

See Also

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
18934064260
1903406460
19134064940
19234016320
19334065620
19434032980
19534013260
19634016660
19734066980
19834033660
19934067660
2003403400
20134068340
20234034340
20334069020
2043401020
20534013940
20634035020
20734070380
20834017680
20934071060
2103407140
21134071740
21234018020
21334072420
21434036380
21534014620
21634018360
21734073780
21834037060

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