LCM for 42 and 1365

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What's the Least Common Multiple (LCM) of 42 and 1365?

Answer

LCM of 42 and 1365 is
2,730

(Two thousand seven hundred thirty)

Finding LCM for 42 and 1365 using GCF of these numbers

The first method to find LCM for numbers 42 and 1365 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 1365 is 21, so

LCM = (42 × 1365) ÷ 21

LCM = 57330 ÷ 21

LCM = 2730

Finding LCM for 42 and 1365 by Listing Multiples

The second method to find LCM for numbers 42 and 1365 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302, 1344, 1386, 1428, 1470, 1512, 1554, 1596, 1638, 1680, 1722, 1764, 1806, 1848, 1890, 1932, 1974, 2016, 2058, 2100, 2142, 2184, 2226, 2268, 2310, 2352, 2394, 2436, 2478, 2520, 2562, 2604, 2646, 2688, 2730, 2772, 2814

Multiples of 1365: 1365, 2730, 4095, 5460

So the LCM for 42 and 1365 is 2730

Finding LCM for 42 and 1365 by Prime Factorization

Another method to find LCM for numbers 42 and 1365 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 1365: 3, 5, 7, 13 (exponent form: 31, 51, 71, 131)

21 × 31 × 71 × 51 × 131 = 2730

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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 1365? (The answer is: 2730). Select the first number (e.g. '42') and the second number (e.g. '1365'). 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
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LCM Table

Number 1Number 2LCM
4213509450
4213518106
42135228392
42135318942
42135428434
42135556910
4213569492
42135756994
4213584074
42135919026
42136028560
42136157162
4213629534
42136357246
42136428644
4213652730
42136628686
42136757414
4213689576
42136957498
42137028770
42137119194
4213724116
42137357666
4213749618
42137557750
42137628896
42137719278
42137828938
4213798274

FAQ

What's the Least Common Multiple (LCM) of 42 and 1365?

LCM of 42 and 1365 is 2,730

How to find the LCM of 42 and 1365 using prime factorization?

To find the LCM of 42 and 1365, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,730.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 42 and 1365: LCM = 2,730, GCF = 21.

See Also