LCM for 54 and 135

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 54 and 135?

Answer: LCM of 54 and 135 is 270

(Two hundred seventy)

Finding LCM for 54 and 135 using GCF's of these numbers

The first method to find LCM for numbers 54 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 54 and 135 is 27, so

LCM = (54 × 135) ÷ 27

LCM = 7290 ÷ 27

LCM = 270

Finding LCM for 54 and 135 by Listing Multiples

The second method to find LCM for numbers 54 and 135 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 54: 54, 108, 162, 216, 270, 324, 378

Multiples of 135: 135, 270, 405, 540

So the LCM for 54 and 135 is 270

Finding LCM for 54 and 135 by Prime Factorization

Another method to find LCM for numbers 54 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)

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

21 × 33 × 51 = 270

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 54 and 135? (The answer is: 270). Select the first number (e.g. '54') 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
391351755
401351080
411355535
421351890
431355805
441355940
45135135
461356210
471356345
481352160
491356615
501351350
511352295
521357020
531357155
54135270
551351485
561357560
571352565
581357830
591357965
60135540
611358235
621358370
63135945
641358640
651351755
661352970
671359045
681359180

FAQ

What's the Least Common Multiple (LCM) of 54 and 135?

LCM of 54 and 135 is 270

See Also