What is the LCM of 42 and 77?

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What's the Least Common Multiple (LCM) of 42 and 77?

Answer: LCM of 42 and 77 is 462

(Four hundred sixty-two)

Finding LCM for 42 and 77 using GCF's of these numbers

The first method to find LCM for numbers 42 and 77 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 77 is 7, so

LCM = (42 × 77) ÷ 7

LCM = 3234 ÷ 7

LCM = 462

Finding LCM for 42 and 77 by Listing Multiples

The second method to find LCM for numbers 42 and 77 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 77: 77, 154, 231, 308, 385, 462, 539, 616

So the LCM for 42 and 77 is 462

Finding LCM for 42 and 77 by Prime Factorization

Another method to find LCM for numbers 42 and 77 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 77: 7, 11 (exponent form: 7¹, 11¹)

2¹ × 3¹ × 7¹ × 11¹ = 462

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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 42 and 77? (The answer is: 462). Select the first number (e.g. '42') and the second number (e.g. '77'). 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	77	2079
28	77	308
29	77	2233
30	77	2310
31	77	2387
32	77	2464
33	77	231
34	77	2618
35	77	385
36	77	2772
37	77	2849
38	77	2926
39	77	3003
40	77	3080
41	77	3157
42	77	462
43	77	3311
44	77	308
45	77	3465
46	77	3542
47	77	3619
48	77	3696
49	77	539
50	77	3850
51	77	3927
52	77	4004
53	77	4081
54	77	4158
55	77	385
56	77	616

LCM for 42 and 77

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 42 and 77?

Finding LCM for 42 and 77 using GCF's of these numbers

Finding LCM for 42 and 77 by Listing Multiples

Finding LCM for 42 and 77 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 77?

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