What is the LCM of 30 and 90?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 90?

Answer: LCM of 30 and 90 is 90

(Ninety)

Finding LCM for 30 and 90 using GCF's of these numbers

The first method to find LCM for numbers 30 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 90 is 30, so

LCM = (30 × 90) ÷ 30

LCM = 2700 ÷ 30

LCM = 90

Finding LCM for 30 and 90 by Listing Multiples

The second method to find LCM for numbers 30 and 90 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120, 150

Multiples of 90: 90, 180, 270, 360, 450, [...], 90

So the LCM for 30 and 90 is 90

Finding LCM for 30 and 90 by Prime Factorization

Another method to find LCM for numbers 30 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 2¹, 3¹, 5¹)

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 2¹, 3², 5¹)

2¹ × 3² × 5¹ = 90

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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 30 and 90? (The answer is: 90). Select the first number (e.g. '30') and the second number (e.g. '90'). 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
15	90	90
16	90	720
17	90	1530
18	90	90
19	90	1710
20	90	180
21	90	630
22	90	990
23	90	2070
24	90	360
25	90	450
26	90	1170
27	90	270
28	90	1260
29	90	2610
30	90	90
31	90	2790
32	90	1440
33	90	990
34	90	1530
35	90	630
36	90	180
37	90	3330
38	90	1710
39	90	1170
40	90	360
41	90	3690
42	90	630
43	90	3870
44	90	1980

LCM for 30 and 90

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 90?

Finding LCM for 30 and 90 using GCF's of these numbers

Finding LCM for 30 and 90 by Listing Multiples

Finding LCM for 30 and 90 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 30 and 90?

See Also