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LCM for 100 and 165

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 165?

Answer

LCM of 100 and 165 is 3,300

(Three thousand, three hundred)

Finding LCM for 100 and 165 using GCF of these numbers

The first method to find LCM for numbers 100 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 165 is 5, so

LCM = (100 × 165) ÷ 5

LCM = 16500 ÷ 5

LCM = 3300

Finding LCM for 100 and 165 by Listing Multiples

The second method to find LCM for numbers 100 and 165 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 165: 165, 330, 495, 660, 825, 990, 1155, 1320, 1485, 1650, 1815, 1980, 2145, 2310, 2475, 2640, 2805, 2970, 3135, 3300, 3465, 3630

So the LCM for 100 and 165 is 3300

Finding LCM for 100 and 165 by Prime Factorization

Another method to find LCM for numbers 100 and 165 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 165: 3, 5, 11 (exponent form: 31, 51, 111)

22 × 52 × 31 × 111 = 3300

Related Calculations

See Also

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What is the LCM of 100 and 165?. Find the LCM of 100 and 165 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
851652805
8616514190
871654785
881651320
8916514685
90165990
9116515015
9216515180
931655115
9416515510
951653135
961655280
9716516005
9816516170
99165495
1001653300
10116516665
1021655610
10316516995
10416517160
1051651155
10616517490
10716517655
1081655940
10916517985
110165330
1111656105
11216518480
11316518645
1141656270

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 165? (The answer is: 3300). Select the first number (e.g. '100') and the second number (e.g. '165'). 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 165?

LCM of 100 and 165 is 3,300

How to find the LCM of 100 and 165 using prime factorization?

To find the LCM of 100 and 165, 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 165: LCM = 3,300, GCF = 5.

See Also