LCM for 60 and 135

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 135?

Answer

LCM of 60 and 135 is 540

(Five hundred forty)

Finding LCM for 60 and 135 using GCF of these numbers

The first method to find LCM for numbers 60 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 135 is 15, so

LCM = (60 × 135) ÷ 15

LCM = 8100 ÷ 15

LCM = 540

Finding LCM for 60 and 135 by Listing Multiples

The second method to find LCM for numbers 60 and 135 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660

Multiples of 135: 135, 270, 405, 540, 675, 810

So the LCM for 60 and 135 is 540

Finding LCM for 60 and 135 by Prime Factorization

Another method to find LCM for numbers 60 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

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

22 × 33 × 51 = 540

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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 60 and 135? (The answer is: 540). Select the first number (e.g. '60') 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

LCM Table

Number 1Number 2LCM
45135135
461356210
471356345
481352160
491356615
501351350
511352295
521357020
531357155
54135270
551351485
561357560
571352565
581357830
591357965
60135540
611358235
621358370
63135945
641358640
651351755
661352970
671359045
681359180
691353105
701351890
711359585
721351080
731359855
741359990

FAQ

What's the Least Common Multiple (LCM) of 60 and 135?

LCM of 60 and 135 is 540

How to find the LCM of 60 and 135 using prime factorization?

To find the LCM of 60 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 540.

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 60 and 135: LCM = 540, GCF = 15.

See Also