What is the LCM of 36 and 60?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 36 and 60?

Answer: LCM of 36 and 60 is 180

(One hundred eighty)

Finding LCM for 36 and 60 using GCF's of these numbers

The first method to find LCM for numbers 36 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 60 is 12, so

LCM = (36 × 60) ÷ 12

LCM = 2160 ÷ 12

LCM = 180

Finding LCM for 36 and 60 by Listing Multiples

The second method to find LCM for numbers 36 and 60 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

Multiples of 60: 60, 120, 180, 240, 300

So the LCM for 36 and 60 is 180

Finding LCM for 36 and 60 by Prime Factorization

Another method to find LCM for numbers 36 and 60 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 60: 2, 2, 3, 5 (exponent form: 2², 3¹, 5¹)

2² × 3² × 5¹ = 180

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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 36 and 60? (The answer is: 180). Select the first number (e.g. '36') and the second number (e.g. '60'). 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

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LCM Table

Number 1	Number 2	LCM
21	60	420
22	60	660
23	60	1380
24	60	120
25	60	300
26	60	780
27	60	540
28	60	420
29	60	1740
30	60	60
31	60	1860
32	60	480
33	60	660
34	60	1020
35	60	420
36	60	180
37	60	2220
38	60	1140
39	60	780
40	60	120
41	60	2460
42	60	420
43	60	2580
44	60	660
45	60	180
46	60	1380
47	60	2820
48	60	240
49	60	2940
50	60	300

LCM for 36 and 60

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 36 and 60?

Finding LCM for 36 and 60 using GCF's of these numbers

Finding LCM for 36 and 60 by Listing Multiples

Finding LCM for 36 and 60 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 36 and 60?

See Also