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LCM for 100 and 340

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 340?

Answer

LCM of 100 and 340 is 1,700

(One thousand, seven hundred)

Finding LCM for 100 and 340 using GCF of these numbers

The first method to find LCM for numbers 100 and 340 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 340 is 20, so

LCM = (100 × 340) ÷ 20

LCM = 34000 ÷ 20

LCM = 1700

Finding LCM for 100 and 340 by Listing Multiples

The second method to find LCM for numbers 100 and 340 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900

Multiples of 340: 340, 680, 1020, 1360, 1700, 2040, 2380

So the LCM for 100 and 340 is 1700

Finding LCM for 100 and 340 by Prime Factorization

Another method to find LCM for numbers 100 and 340 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

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

22 × 52 × 171 = 1700

See Also

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What is the LCM of 100 and 340?. Find the LCM of 100 and 340 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/100--340/generated.jpgCopy

LCM Table

Number 1Number 2LCM
85340340
8634014620
8734029580
883407480
8934030260
903403060
9134030940
923407820
9334031620
9434015980
953406460
963408160
9734032980
9834016660
9934033660
1003401700
10134034340
1023401020
10334035020
1043408840
1053407140
10634018020
10734036380
1083409180
10934037060
1103403740
11134037740
1123409520
11334038420
11434019380

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 100 and 340? (The answer is: 1700). Select the first number (e.g. '100') 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

FAQ

What's the Least Common Multiple (LCM) of 100 and 340?

LCM of 100 and 340 is 1,700

How to find the LCM of 100 and 340 using prime factorization?

To find the LCM of 100 and 340, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,700.

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 100 and 340: LCM = 1,700, GCF = 20.

See Also