LCM for 45 and 135

What's the Least Common Multiple (LCM) of 45 and 135?

Answer: LCM of 45 and 135 is 135

(One hundred thirty-five)

Finding LCM for 45 and 135 using GCF's of these numbers

The first method to find LCM for numbers 45 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 135 is 45, so

LCM = (45 × 135) ÷ 45

LCM = 6075 ÷ 45

LCM = 135

Finding LCM for 45 and 135 by Listing Multiples

The second method to find LCM for numbers 45 and 135 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180, 225

Multiples of 135: 135, 270, 405, 540, 675, [...], 135

So the LCM for 45 and 135 is 135

Finding LCM for 45 and 135 by Prime Factorization

Another method to find LCM for numbers 45 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

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

33 × 51 = 135

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 45 and 135? (The answer is: 135). Select the first number (e.g. '45') 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

LCM Table

Number 1Number 2LCM
30135270
311354185
321354320
331351485
341354590
35135945
36135540
371354995
381355130
391351755
401351080
411355535
421351890
431355805
441355940
45135
461356210
471356345
481352160
491356615
501351350
511352295
521357020
531357155
54135
551351485
561357560
571352565
581357830
591357965

FAQ

What's the Least Common Multiple (LCM) of 45 and 135?

LCM of 45 and 135 is 135