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LCM for 42 and 1365

"Least Common Multiple" Calculator

Least Common Multiple of

and

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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What is the LCM of 42 and 1365?. Find the LCM of 42 and 1365 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
27136512285
2813655460
29136539585
3013652730
31136542315
32136543680
33136515015
34136546410
3513651365
36136516380
37136550505
38136551870
3913651365
40136510920
41136555965
4213652730
43136558695
44136560060
4513654095
46136562790
47136564155
48136521840
4913659555
50136513650
51136523205
5213655460
53136572345
54136524570
55136515015
56136510920

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

Least Common Multiple of

and

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