What is the LCM of 42 and 231?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 42 and 231?

Answer: LCM of 42 and 231 is 462

(Four hundred sixty-two)

Finding LCM for 42 and 231 using GCF's of these numbers

The first method to find LCM for numbers 42 and 231 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 231 is 21, so

LCM = (42 × 231) ÷ 21

LCM = 9702 ÷ 21

LCM = 462

Finding LCM for 42 and 231 by Listing Multiples

The second method to find LCM for numbers 42 and 231 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546

Multiples of 231: 231, 462, 693, 924

So the LCM for 42 and 231 is 462

Finding LCM for 42 and 231 by Prime Factorization

Another method to find LCM for numbers 42 and 231 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 42: 2, 3, 7 (exponent form: 2¹, 3¹, 7¹)

All Prime Factors of 231: 3, 7, 11 (exponent form: 3¹, 7¹, 11¹)

2¹ × 3¹ × 7¹ × 11¹ = 462

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What is the GCF of 42 and 231

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 42 and 231? (The answer is: 462). Select the first number (e.g. '42') and the second number (e.g. '231'). 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
27	231	2079
28	231	924
29	231	6699
30	231	2310
31	231	7161
32	231	7392
33	231	231
34	231	7854
35	231	1155
36	231	2772
37	231	8547
38	231	8778
39	231	3003
40	231	9240
41	231	9471
42	231	462
43	231	9933
44	231	924
45	231	3465
46	231	10626
47	231	10857
48	231	3696
49	231	1617
50	231	11550
51	231	3927
52	231	12012
53	231	12243
54	231	4158
55	231	1155
56	231	1848

LCM for 42 and 231

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 42 and 231?

Finding LCM for 42 and 231 using GCF's of these numbers

Finding LCM for 42 and 231 by Listing Multiples

Finding LCM for 42 and 231 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 42 and 231?

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