LCM for 36 and 87

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 36 and 87?

Answer: LCM of 36 and 87 is 1,044

(One thousand, forty-four)

Finding LCM for 36 and 87 using GCF's of these numbers

The first method to find LCM for numbers 36 and 87 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 87 is 3, so

LCM = (36 × 87) ÷ 3

LCM = 3132 ÷ 3

LCM = 1044

Finding LCM for 36 and 87 by Listing Multiples

The second method to find LCM for numbers 36 and 87 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116

Multiples of 87: 87, 174, 261, 348, 435, 522, 609, 696, 783, 870, 957, 1044, 1131, 1218

So the LCM for 36 and 87 is 1044

Finding LCM for 36 and 87 by Prime Factorization

Another method to find LCM for numbers 36 and 87 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 87: 3, 29 (exponent form: 31, 291)

22 × 32 × 291 = 1044

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 36 and 87? (The answer is: 1044). Select the first number (e.g. '36') and the second number (e.g. '87'). 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
2187609
22871914
23872001
2487696
25872175
26872262
2787783
28872436
298787
3087870
31872697
32872784
3387957
34872958
35873045
36871044
37873219
38873306
39871131
40873480
41873567
42871218
43873741
44873828
45871305
46874002
47874089
48871392
49874263
50874350

FAQ

What's the Least Common Multiple (LCM) of 36 and 87?

LCM of 36 and 87 is 1,044

See Also