LCM for 56 and 58
What's the Least Common Multiple (LCM) of 56 and 58?
Answer
(One thousand, six hundred twenty-four)
Finding LCM for 56 and 58 using GCF of these numbers
The first method to find LCM for numbers 56 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 56 and 58 is 2, so
LCM = (56 × 58) ÷ 2
LCM = 3248 ÷ 2
LCM = 1624
Finding LCM for 56 and 58 by Listing Multiples
The second method to find LCM for numbers 56 and 58 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512, 1568, 1624, 1680, 1736
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, 1392, 1450, 1508, 1566, 1624, 1682, 1740
So the LCM for 56 and 58 is 1624
Finding LCM for 56 and 58 by Prime Factorization
Another method to find LCM for numbers 56 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)
All Prime Factors of 58: 2, 29 (exponent form: 21, 291)
23 × 71 × 291 = 1624
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/56--58">What is the LCM of 56 and 58? - Calculatio</a>
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