LCM for 42 and 58

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What's the Least Common Multiple (LCM) of 42 and 58?

Answer

LCM of 42 and 58 is
1,218

(One thousand two hundred eighteen)

Finding LCM for 42 and 58 using GCF of these numbers

The first method to find LCM for numbers 42 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 58 is 2, so

LCM = (42 × 58) ÷ 2

LCM = 2436 ÷ 2

LCM = 1218

Finding LCM for 42 and 58 by Listing Multiples

The second method to find LCM for numbers 42 and 58 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

Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334

So the LCM for 42 and 58 is 1218

Finding LCM for 42 and 58 by Prime Factorization

Another method to find LCM for numbers 42 and 58 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 58: 2, 29 (exponent form: 21, 291)

21 × 31 × 71 × 291 = 1218

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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 58? (The answer is: 1218). Select the first number (e.g. '42') and the second number (e.g. '58'). 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
42431806
4244924
4245630
4246966
42471974
4248336
4249294
42501050
4251714
42521092
42532226
4254378
42552310
4256168
4257798
42581218
42592478
4260420
42612562
42621302
4263126
42641344
42652730
4266462
42672814
42681428
4269966
4270210
42712982
4272504

FAQ

What's the Least Common Multiple (LCM) of 42 and 58?

LCM of 42 and 58 is 1,218

How to find the LCM of 42 and 58 using prime factorization?

To find the LCM of 42 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,218.

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 58: LCM = 1,218, GCF = 2.

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