LCM for 8 and 58

What's the Least Common Multiple (LCM) of 8 and 58?

Answer: LCM of 8 and 58 is 232

(Two hundred thirty-two)

Finding LCM for 8 and 58 using GCF's of these numbers

The first method to find LCM for numbers 8 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 58 is 2, so

LCM = (8 × 58) ÷ 2

LCM = 464 ÷ 2

LCM = 232

Finding LCM for 8 and 58 by Listing Multiples

The second method to find LCM for numbers 8 and 58 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248

Multiples of 58: 58, 116, 174, 232, 290, 348

So the LCM for 8 and 58 is 232

Finding LCM for 8 and 58 by Prime Factorization

Another method to find LCM for numbers 8 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 58: 2, 29 (exponent form: 21, 291)

23 × 291 = 232

Related Calculations

LCM Table

Number 1Number 2LCM
15858
25858
358174
458116
558290
658174
758406
858
958522
1058290
1158638
1258348
1358754
1458406
1558870
1658464
1758986
1858522
19581102
2058580
21581218
2258638
23581334
2458696
25581450
2658754
27581566
2858812
295858
3058870

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 8 and 58? (The answer is: 232). Select the first number (e.g. '8') 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

FAQ

What's the Least Common Multiple (LCM) of 8 and 58?

LCM of 8 and 58 is 232