LCM for 100 and 205

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 205?

Answer: LCM of 100 and 205 is 4,100

(Four thousand, one hundred)

Finding LCM for 100 and 205 using GCF's of these numbers

The first method to find LCM for numbers 100 and 205 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 205 is 5, so

LCM = (100 × 205) ÷ 5

LCM = 20500 ÷ 5

LCM = 4100

Finding LCM for 100 and 205 by Listing Multiples

The second method to find LCM for numbers 100 and 205 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900, 4000, 4100, 4200, 4300

Multiples of 205: 205, 410, 615, 820, 1025, 1230, 1435, 1640, 1845, 2050, 2255, 2460, 2665, 2870, 3075, 3280, 3485, 3690, 3895, 4100, 4305, 4510

So the LCM for 100 and 205 is 4100

Finding LCM for 100 and 205 by Prime Factorization

Another method to find LCM for numbers 100 and 205 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 205: 5, 41 (exponent form: 51, 411)

22 × 52 × 411 = 4100

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LCM Table

Number 1Number 2LCM
852053485
8620517630
8720517835
8820518040
8920518245
902053690
9120518655
9220518860
9320519065
9420519270
952053895
9620519680
9720519885
9820520090
9920520295
1002054100
10120520705
10220520910
10320521115
10420521320
1052054305
10620521730
10720521935
10820522140
10920522345
1102054510
11120522755
11220522960
11320523165
11420523370

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 205? (The answer is: 4100). Select the first number (e.g. '100') and the second number (e.g. '205'). 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 205?

LCM of 100 and 205 is 4,100

See Also