LCM for 100 and 330

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 330?

Answer

LCM of 100 and 330 is 3,300

(Three thousand, three hundred)

Finding LCM for 100 and 330 using GCF of these numbers

The first method to find LCM for numbers 100 and 330 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 330 is 10, so

LCM = (100 × 330) ÷ 10

LCM = 33000 ÷ 10

LCM = 3300

Finding LCM for 100 and 330 by Listing Multiples

The second method to find LCM for numbers 100 and 330 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, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500

Multiples of 330: 330, 660, 990, 1320, 1650, 1980, 2310, 2640, 2970, 3300, 3630, 3960

So the LCM for 100 and 330 is 3300

Finding LCM for 100 and 330 by Prime Factorization

Another method to find LCM for numbers 100 and 330 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 330: 2, 3, 5, 11 (exponent form: 21, 31, 51, 111)

22 × 52 × 31 × 111 = 3300

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 100 and 330? (The answer is: 3300). Select the first number (e.g. '100') and the second number (e.g. '330'). 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
853305610
8633014190
873309570
883301320
8933029370
90330990
9133030030
9233015180
9333010230
9433015510
953306270
963305280
9733032010
9833016170
99330990
1003303300
10133033330
1023305610
10333033990
10433017160
1053302310
10633017490
10733035310
1083305940
10933035970
110330330
11133012210
11233018480
11333037290
1143306270

FAQ

What's the Least Common Multiple (LCM) of 100 and 330?

LCM of 100 and 330 is 3,300

How to find the LCM of 100 and 330 using prime factorization?

To find the LCM of 100 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,300.

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 330: LCM = 3,300, GCF = 10.

See Also