LCM for 105 and 165

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What's the Least Common Multiple (LCM) of 105 and 165?

Answer

LCM of 105 and 165 is
1,155

(One thousand one hundred fifty-five)

Finding LCM for 105 and 165 using GCF of these numbers

The first method to find LCM for numbers 105 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 165 is 15, so

LCM = (105 × 165) ÷ 15

LCM = 17,325 ÷ 15

LCM = 1,155

Finding LCM for 105 and 165 by Listing Multiples

The second method to find LCM for numbers 105 and 165 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1,050, 1,155, 1,260, 1,365

Multiples of 165: 165, 330, 495, 660, 825, 990, 1,155, 1,320, 1,485

So the LCM for 105 and 165 is 1,155

Finding LCM for 105 and 165 by Prime Factorization

Another method to find LCM for numbers 105 and 165 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

All Prime Factors of 165: 3, 5, 11 (exponent form: 31, 51, 111)

31 × 51 × 71 × 111 = 1,155

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 105 and 165? (The answer is: 1,155). Select the first number (e.g. '105') 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
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LCM Table

Number 1Number 2LCM
1051501,050
10515115,855
10515215,960
1051535,355
1051542,310
1051553,255
1051565,460
10515716,485
10515816,590
1051595,565
1051603,360
1051612,415
1051625,670
10516317,115
10516417,220
1051651,155
10516617,430
10516717,535
105168840
10516917,745
1051703,570
1051715,985
10517218,060
10517318,165
1051746,090
105175525
10517618,480
1051776,195
10517818,690
10517918,795

FAQ

What's the Least Common Multiple (LCM) of 105 and 165?

LCM of 105 and 165 is 1,155

How to find the LCM of 105 and 165 using prime factorization?

To find the LCM of 105 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,155.

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 105 and 165: LCM = 1,155, GCF = 15.

See Also