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LCM for 10 and 135

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 135?

Answer

LCM of 10 and 135 is 270

(Two hundred seventy)

Finding LCM for 10 and 135 using GCF of these numbers

The first method to find LCM for numbers 10 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 135 is 5, so

LCM = (10 × 135) ÷ 5

LCM = 1350 ÷ 5

LCM = 270

Finding LCM for 10 and 135 by Listing Multiples

The second method to find LCM for numbers 10 and 135 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290

Multiples of 135: 135, 270, 405, 540

So the LCM for 10 and 135 is 270

Finding LCM for 10 and 135 by Prime Factorization

Another method to find LCM for numbers 10 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

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

21 × 51 × 33 = 270

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What is the LCM of 10 and 135?. Find the LCM of 10 and 135 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/10--135/generated.jpgCopy

LCM Table

Number 1Number 2LCM
1135135
2135270
3135135
4135540
5135135
6135270
7135945
81351080
9135135
10135270
111351485
12135540
131351755
141351890
15135135
161352160
171352295
18135270
191352565
20135540
21135945
221352970
231353105
241351080
25135675
261353510
27135135
281353780
291353915
30135270

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 10 and 135? (The answer is: 270). Select the first number (e.g. '10') and the second number (e.g. '135'). 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 10 and 135?

LCM of 10 and 135 is 270

How to find the LCM of 10 and 135 using prime factorization?

To find the LCM of 10 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

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 10 and 135: LCM = 270, GCF = 5.

See Also