LCM for 6 and 58
What's the Least Common Multiple (LCM) of 6 and 58?
Answer
(One hundred seventy-four)
Finding LCM for 6 and 58 using GCF of these numbers
The first method to find LCM for numbers 6 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 58 is 2, so
LCM = (6 × 58) ÷ 2
LCM = 348 ÷ 2
LCM = 174
Finding LCM for 6 and 58 by Listing Multiples
The second method to find LCM for numbers 6 and 58 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186
Multiples of 58: 58, 116, 174, 232, 290
So the LCM for 6 and 58 is 174
Finding LCM for 6 and 58 by Prime Factorization
Another method to find LCM for numbers 6 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 58: 2, 29 (exponent form: 21, 291)
21 × 31 × 291 = 174
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999

LCM Table
About "Least Common Multiple" Calculator
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