LCM for 135 and 165

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What's the Least Common Multiple (LCM) of 135 and 165?

Answer

LCM of 135 and 165 is
1,485

(One thousand four hundred eighty-five)

Finding LCM for 135 and 165 using GCF of these numbers

The first method to find LCM for numbers 135 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 135 and 165 is 15, so

LCM = (135 × 165) ÷ 15

LCM = 22,275 ÷ 15

LCM = 1,485

Finding LCM for 135 and 165 by Listing Multiples

The second method to find LCM for numbers 135 and 165 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 135: 135, 270, 405, 540, 675, 810, 945, 1,080, 1,215, 1,350, 1,485, 1,620, 1,755

Multiples of 165: 165, 330, 495, 660, 825, 990, 1,155, 1,320, 1,485, 1,650, 1,815

So the LCM for 135 and 165 is 1,485

Finding LCM for 135 and 165 by Prime Factorization

Another method to find LCM for numbers 135 and 165 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)

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

33 × 51 × 111 = 1,485

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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 135 and 165? (The answer is: 1,485). Select the first number (e.g. '135') 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
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LCM Table

Number 1Number 2LCM
1351501,350
13515120,385
13515220,520
1351532,295
13515420,790
1351554,185
1351567,020
13515721,195
13515821,330
1351597,155
1351604,320
13516121,735
135162810
13516322,005
13516422,140
1351651,485
13516622,410
13516722,545
1351687,560
13516922,815
1351704,590
1351712,565
13517223,220
13517323,355
1351747,830
1351754,725
13517623,760
1351777,965
13517824,030
13517924,165

FAQ

What's the Least Common Multiple (LCM) of 135 and 165?

LCM of 135 and 165 is 1,485

How to find the LCM of 135 and 165 using prime factorization?

To find the LCM of 135 and 165, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,485.

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 135 and 165: LCM = 1,485, GCF = 15.

See Also