LCM for 28 and 57
What's the Least Common Multiple (LCM) of 28 and 57?
Answer
(One thousand, five hundred ninety-six)
Finding LCM for 28 and 57 using GCF of these numbers
The first method to find LCM for numbers 28 and 57 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 28 and 57 is 1, so
LCM = (28 × 57) ÷ 1
LCM = 1596 ÷ 1
LCM = 1596
Finding LCM for 28 and 57 by Listing Multiples
The second method to find LCM for numbers 28 and 57 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756, 784, 812, 840, 868, 896, 924, 952, 980, 1008, 1036, 1064, 1092, 1120, 1148, 1176, 1204, 1232, 1260, 1288, 1316, 1344, 1372, 1400, 1428, 1456, 1484, 1512, 1540, 1568, 1596, 1624, 1652
Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026, 1083, 1140, 1197, 1254, 1311, 1368, 1425, 1482, 1539, 1596, 1653, 1710
So the LCM for 28 and 57 is 1596
Finding LCM for 28 and 57 by Prime Factorization
Another method to find LCM for numbers 28 and 57 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)
All Prime Factors of 57: 3, 19 (exponent form: 31, 191)
22 × 71 × 31 × 191 = 1596
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/28--57">What is the LCM of 28 and 57? - 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